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20 results on '"Alvarez-Gasca, O."'

1. HPM Approximations for Trajectories: From a Golf Ball Path to Mercury’s Orbit

Author

Filobello-Nino, U., Jimenez-Fernandez, V.M., Jimenez-Fernandez, Jimenez-Fernandez, Palma-Grayeb, B.E., Pereyra-Diaz, D., Canela, J.E. Pretelin, Luna-Lozano, P.S., Cervantes-Perez, J., Sampieri-Gonzalez, C.E., Cuellar-Hernández, L., Hoyos-Reyes, C., Hernandez-Machuca, S.F., Mendez-Perez, J.M., Contreras-Hernandez, A.D., Alvarez-Gasca, O., Gonzalez-Martinez, F.J., Rocha-Fernandez, J.L., Vazquez-Aguirre, J.L., Lara, L.J.Varela, Callejas-Molina, R.A., Vazquez-Leal, H., Filobello-Nino, U., Jimenez-Fernandez, V.M., Jimenez-Fernandez, Jimenez-Fernandez, Palma-Grayeb, B.E., Pereyra-Diaz, D., Canela, J.E. Pretelin, Luna-Lozano, P.S., Cervantes-Perez, J., Sampieri-Gonzalez, C.E., Cuellar-Hernández, L., Hoyos-Reyes, C., Hernandez-Machuca, S.F., Mendez-Perez, J.M., Contreras-Hernandez, A.D., Alvarez-Gasca, O., Gonzalez-Martinez, F.J., Rocha-Fernandez, J.L., Vazquez-Aguirre, J.L., Lara, L.J.Varela, Callejas-Molina, R.A., and Vazquez-Leal, H.

Abstract

In this work, we propose the approximated analytical solutions for two highly nonlinear problems using the homotopy perturbation method (HPM). We obtained approximations for a golf ball trajectory model and a Mercury orbit’s model. In addition, to enlarge the domain of convergence of the first case study, we apply the Laplace-Padé resummation method to the HPM series solution. For both case studies, we were able to obtain approximations in good agreement with numerical methods, depicting the basic nature of the trajectories of the phenomena.

Published
2018

2. HPM Approximations for Trajectories: From a Golf Ball Path to Mercury’s Orbit

Author

Filobello-Nino, U., Jimenez-Fernandez, V.M., Jimenez-Fernandez, Jimenez-Fernandez, Palma-Grayeb, B.E., Pereyra-Diaz, D., Canela, J.E. Pretelin, Luna-Lozano, P.S., Cervantes-Perez, J., Sampieri-Gonzalez, C.E., Cuellar-Hernández, L., Hoyos-Reyes, C., Hernandez-Machuca, S.F., Mendez-Perez, J.M., Contreras-Hernandez, A.D., Alvarez-Gasca, O., Gonzalez-Martinez, F.J., Rocha-Fernandez, J.L., Vazquez-Aguirre, J.L., Lara, L.J.Varela, Callejas-Molina, R.A., Vazquez-Leal, H., Filobello-Nino, U., Jimenez-Fernandez, V.M., Jimenez-Fernandez, Jimenez-Fernandez, Palma-Grayeb, B.E., Pereyra-Diaz, D., Canela, J.E. Pretelin, Luna-Lozano, P.S., Cervantes-Perez, J., Sampieri-Gonzalez, C.E., Cuellar-Hernández, L., Hoyos-Reyes, C., Hernandez-Machuca, S.F., Mendez-Perez, J.M., Contreras-Hernandez, A.D., Alvarez-Gasca, O., Gonzalez-Martinez, F.J., Rocha-Fernandez, J.L., Vazquez-Aguirre, J.L., Lara, L.J.Varela, Callejas-Molina, R.A., and Vazquez-Leal, H.

Abstract

In this work, we propose the approximated analytical solutions for two highly nonlinear problems using the homotopy perturbation method (HPM). We obtained approximations for a golf ball trajectory model and a Mercury orbit’s model. In addition, to enlarge the domain of convergence of the first case study, we apply the Laplace-Padé resummation method to the HPM series solution. For both case studies, we were able to obtain approximations in good agreement with numerical methods, depicting the basic nature of the trajectories of the phenomena.

Published
2018

3. HPM Approximations for Trajectories: From a Golf Ball Path to Mercury’s Orbit

Author

Filobello-Nino, U., Jimenez-Fernandez, V.M., Jimenez-Fernandez, Jimenez-Fernandez, Palma-Grayeb, B.E., Pereyra-Diaz, D., Canela, J.E. Pretelin, Luna-Lozano, P.S., Cervantes-Perez, J., Sampieri-Gonzalez, C.E., Cuellar-Hernández, L., Hoyos-Reyes, C., Hernandez-Machuca, S.F., Mendez-Perez, J.M., Contreras-Hernandez, A.D., Alvarez-Gasca, O., Gonzalez-Martinez, F.J., Rocha-Fernandez, J.L., Vazquez-Aguirre, J.L., Lara, L.J.Varela, Callejas-Molina, R.A., Vazquez-Leal, H., Filobello-Nino, U., Jimenez-Fernandez, V.M., Jimenez-Fernandez, Jimenez-Fernandez, Palma-Grayeb, B.E., Pereyra-Diaz, D., Canela, J.E. Pretelin, Luna-Lozano, P.S., Cervantes-Perez, J., Sampieri-Gonzalez, C.E., Cuellar-Hernández, L., Hoyos-Reyes, C., Hernandez-Machuca, S.F., Mendez-Perez, J.M., Contreras-Hernandez, A.D., Alvarez-Gasca, O., Gonzalez-Martinez, F.J., Rocha-Fernandez, J.L., Vazquez-Aguirre, J.L., Lara, L.J.Varela, Callejas-Molina, R.A., and Vazquez-Leal, H.

Abstract

In this work, we propose the approximated analytical solutions for two highly nonlinear problems using the homotopy perturbation method (HPM). We obtained approximations for a golf ball trajectory model and a Mercury orbit’s model. In addition, to enlarge the domain of convergence of the first case study, we apply the Laplace-Padé resummation method to the HPM series solution. For both case studies, we were able to obtain approximations in good agreement with numerical methods, depicting the basic nature of the trajectories of the phenomena.

Published
2018

4. HPM Approximations for Trajectories: From a Golf Ball Path to Mercury’s Orbit

Author

Filobello-Nino, U., Jimenez-Fernandez, V.M., Jimenez-Fernandez, Jimenez-Fernandez, Palma-Grayeb, B.E., Pereyra-Diaz, D., Canela, J.E. Pretelin, Luna-Lozano, P.S., Cervantes-Perez, J., Sampieri-Gonzalez, C.E., Cuellar-Hernández, L., Hoyos-Reyes, C., Hernandez-Machuca, S.F., Mendez-Perez, J.M., Contreras-Hernandez, A.D., Alvarez-Gasca, O., Gonzalez-Martinez, F.J., Rocha-Fernandez, J.L., Vazquez-Aguirre, J.L., Lara, L.J.Varela, Callejas-Molina, R.A., Vazquez-Leal, H., Filobello-Nino, U., Jimenez-Fernandez, V.M., Jimenez-Fernandez, Jimenez-Fernandez, Palma-Grayeb, B.E., Pereyra-Diaz, D., Canela, J.E. Pretelin, Luna-Lozano, P.S., Cervantes-Perez, J., Sampieri-Gonzalez, C.E., Cuellar-Hernández, L., Hoyos-Reyes, C., Hernandez-Machuca, S.F., Mendez-Perez, J.M., Contreras-Hernandez, A.D., Alvarez-Gasca, O., Gonzalez-Martinez, F.J., Rocha-Fernandez, J.L., Vazquez-Aguirre, J.L., Lara, L.J.Varela, Callejas-Molina, R.A., and Vazquez-Leal, H.

Abstract

In this work, we propose the approximated analytical solutions for two highly nonlinear problems using the homotopy perturbation method (HPM). We obtained approximations for a golf ball trajectory model and a Mercury orbit’s model. In addition, to enlarge the domain of convergence of the first case study, we apply the Laplace-Padé resummation method to the HPM series solution. For both case studies, we were able to obtain approximations in good agreement with numerical methods, depicting the basic nature of the trajectories of the phenomena.

Published
2018

5. HPM Approximations for Trajectories: From a Golf Ball Path to Mercury’s Orbit

Author

Filobello-Nino, U., Jimenez-Fernandez, V.M., Jimenez-Fernandez, Jimenez-Fernandez, Palma-Grayeb, B.E., Pereyra-Diaz, D., Canela, J.E. Pretelin, Luna-Lozano, P.S., Cervantes-Perez, J., Sampieri-Gonzalez, C.E., Cuellar-Hernández, L., Hoyos-Reyes, C., Hernandez-Machuca, S.F., Mendez-Perez, J.M., Contreras-Hernandez, A.D., Alvarez-Gasca, O., Gonzalez-Martinez, F.J., Rocha-Fernandez, J.L., Vazquez-Aguirre, J.L., Lara, L.J.Varela, Callejas-Molina, R.A., Vazquez-Leal, H., Filobello-Nino, U., Jimenez-Fernandez, V.M., Jimenez-Fernandez, Jimenez-Fernandez, Palma-Grayeb, B.E., Pereyra-Diaz, D., Canela, J.E. Pretelin, Luna-Lozano, P.S., Cervantes-Perez, J., Sampieri-Gonzalez, C.E., Cuellar-Hernández, L., Hoyos-Reyes, C., Hernandez-Machuca, S.F., Mendez-Perez, J.M., Contreras-Hernandez, A.D., Alvarez-Gasca, O., Gonzalez-Martinez, F.J., Rocha-Fernandez, J.L., Vazquez-Aguirre, J.L., Lara, L.J.Varela, Callejas-Molina, R.A., and Vazquez-Leal, H.

Abstract

In this work, we propose the approximated analytical solutions for two highly nonlinear problems using the homotopy perturbation method (HPM). We obtained approximations for a golf ball trajectory model and a Mercury orbit’s model. In addition, to enlarge the domain of convergence of the first case study, we apply the Laplace-Padé resummation method to the HPM series solution. For both case studies, we were able to obtain approximations in good agreement with numerical methods, depicting the basic nature of the trajectories of the phenomena.

Published
2018

6. A High Accurate Approximation for a Galactic Newtonian Nonlinear Model Validated by Employing Observational Data

Author

Filobello-Nino, U., Vazquez-Leal, H., Sandoval-Hernandez, M., Perez-Sesma, J. A. A., Perez-Sesma, A., Sarmiento-Reyes, A., Jimenez-Fernandez, V. M., Huerta-Chua, J., Pereyra-Diaz, D., Castro-Gonzalez, F., Laguna-Camacho, J. R., Gasca-Herrera, A. E., Pretelin Canela, J. E., Palma-Grayeb, B. E., Cervantes-Perez, J., Sampieri-Gonzalez, C. E., Cuellar-Hernández, L., Hoyos-Reyes, C., Ruiz-Gomez, R., Contreras-Hernandez, A. D., Alvarez-Gasca, O., Gonzalez-Martinez, F. J., Filobello-Nino, U., Vazquez-Leal, H., Sandoval-Hernandez, M., Perez-Sesma, J. A. A., Perez-Sesma, A., Sarmiento-Reyes, A., Jimenez-Fernandez, V. M., Huerta-Chua, J., Pereyra-Diaz, D., Castro-Gonzalez, F., Laguna-Camacho, J. R., Gasca-Herrera, A. E., Pretelin Canela, J. E., Palma-Grayeb, B. E., Cervantes-Perez, J., Sampieri-Gonzalez, C. E., Cuellar-Hernández, L., Hoyos-Reyes, C., Ruiz-Gomez, R., Contreras-Hernandez, A. D., Alvarez-Gasca, O., and Gonzalez-Martinez, F. J.

Abstract

This article proposes Perturbation Method (PM) to solve nonlinear problems. As case study PM is employed to provide a detailed study of a nonlinear galactic model. Our approach is rather elementary and seeks to explain as much detail as possible the material of this work.In particular our solution gives rise qualitatively, to the known flat rotation curves. In fact, we compare the numerical solution and the obtained approximation by employing observational data proving the validity and high accuracy of the model under study.

Published
2017

7. Classical Perturbation Method for the Solution of a Model of Diffusion and Reaction

Author

Filobello-Nino, U., Vazquez-Leal, H., Perez-Sesma, J. A. A., Perez-Sesma, A., Sandoval-Hernandez, M., Sarmiento-Reyes, A., Huerta-Chua, J., Jimenez-Fernandez, V. M., Pereyra-Diaz, D., Hernandez-Machuca, S. F., Cuellar-Hernandez, L., Castro-Gonzalez, F., Gasca-Herrera, A. E., Pretelin Canela, J. E., Contreras-Hernandez, A. D., Alvarez-Gasca, O., Palma-Grayeb, B. E., Rocha-Fernandez, J. L., Sanchez-Orea, J., Sampieri-Gonzalez, C. E., Gonzalez-Martinez, F. J., Filobello-Nino, U., Vazquez-Leal, H., Perez-Sesma, J. A. A., Perez-Sesma, A., Sandoval-Hernandez, M., Sarmiento-Reyes, A., Huerta-Chua, J., Jimenez-Fernandez, V. M., Pereyra-Diaz, D., Hernandez-Machuca, S. F., Cuellar-Hernandez, L., Castro-Gonzalez, F., Gasca-Herrera, A. E., Pretelin Canela, J. E., Contreras-Hernandez, A. D., Alvarez-Gasca, O., Palma-Grayeb, B. E., Rocha-Fernandez, J. L., Sanchez-Orea, J., Sampieri-Gonzalez, C. E., and Gonzalez-Martinez, F. J.

Abstract

In this paper, we employ perturbation method (PM) to solve nonlinear problems. As case study PM is employed to obtain approximate solutions for the nonlinear differential equation that models the diffusion and reaction in porous catalysts. We find that the square residual error (S.R.E) of our solutions is in the range and this requires only the third order approximation of PM, which shows the effectiveness of the method.

Published
2017

8. Application of HPM to Solve Unsteady Squeezing Flow of a Second-Grade Fluid between Circular Plates

Author

Vazquez-Leal, H., Filobello-Nino, U., Sarmiento-Reyes, A., Sandoval-Hernandez, M., Perez-Sesma, J. A. A., Perez-Sesma, A., Jimenez-Fernandez, V. M., Huerta-Chua, J., Castro-Gonzalez, F., Sanchez-Orea, J., Hernández Machuca, S. F., Cuellar-Hernández, L., Pretelin Canela, J. E., Gasca-Herrera, A. E., Sampieri-Gonzalez, C. E., Palma-Grayeb, B. E., Contreras-Hernandez, A. D., Alvarez-Gasca, O., Gonzalez-Martinez, F. J., Vazquez-Leal, H., Filobello-Nino, U., Sarmiento-Reyes, A., Sandoval-Hernandez, M., Perez-Sesma, J. A. A., Perez-Sesma, A., Jimenez-Fernandez, V. M., Huerta-Chua, J., Castro-Gonzalez, F., Sanchez-Orea, J., Hernández Machuca, S. F., Cuellar-Hernández, L., Pretelin Canela, J. E., Gasca-Herrera, A. E., Sampieri-Gonzalez, C. E., Palma-Grayeb, B. E., Contreras-Hernandez, A. D., Alvarez-Gasca, O., and Gonzalez-Martinez, F. J.

Abstract

In this article, Homotopy Perturbation Method (HPM) is used to provide two approximate solutions to the nonlinear differential equation that describes the behaviour for the unsteady squeezing flow of a second grade fluid between circular plates. Comparing results between approximate and numerical solutions shows that our results are capable to provide an accurate solution and are extremely efficient.

Published
2017

9. Classical Perturbation Method for the Solution of a Model of Diffusion and Reaction

Author

Filobello-Nino, U., Vazquez-Leal, H., Perez-Sesma, J. A. A., Perez-Sesma, A., Sandoval-Hernandez, M., Sarmiento-Reyes, A., Huerta-Chua, J., Jimenez-Fernandez, V. M., Pereyra-Diaz, D., Hernandez-Machuca, S. F., Cuellar-Hernandez, L., Castro-Gonzalez, F., Gasca-Herrera, A. E., Pretelin Canela, J. E., Contreras-Hernandez, A. D., Alvarez-Gasca, O., Palma-Grayeb, B. E., Rocha-Fernandez, J. L., Sanchez-Orea, J., Sampieri-Gonzalez, C. E., Gonzalez-Martinez, F. J., Filobello-Nino, U., Vazquez-Leal, H., Perez-Sesma, J. A. A., Perez-Sesma, A., Sandoval-Hernandez, M., Sarmiento-Reyes, A., Huerta-Chua, J., Jimenez-Fernandez, V. M., Pereyra-Diaz, D., Hernandez-Machuca, S. F., Cuellar-Hernandez, L., Castro-Gonzalez, F., Gasca-Herrera, A. E., Pretelin Canela, J. E., Contreras-Hernandez, A. D., Alvarez-Gasca, O., Palma-Grayeb, B. E., Rocha-Fernandez, J. L., Sanchez-Orea, J., Sampieri-Gonzalez, C. E., and Gonzalez-Martinez, F. J.

Abstract

In this paper, we employ perturbation method (PM) to solve nonlinear problems. As case study PM is employed to obtain approximate solutions for the nonlinear differential equation that models the diffusion and reaction in porous catalysts. We find that the square residual error (S.R.E) of our solutions is in the range and this requires only the third order approximation of PM, which shows the effectiveness of the method.

Published
2017

10. A High Accurate Approximation for a Galactic Newtonian Nonlinear Model Validated by Employing Observational Data

Author

Filobello-Nino, U., Vazquez-Leal, H., Sandoval-Hernandez, M., Perez-Sesma, J. A. A., Perez-Sesma, A., Sarmiento-Reyes, A., Jimenez-Fernandez, V. M., Huerta-Chua, J., Pereyra-Diaz, D., Castro-Gonzalez, F., Laguna-Camacho, J. R., Gasca-Herrera, A. E., Pretelin Canela, J. E., Palma-Grayeb, B. E., Cervantes-Perez, J., Sampieri-Gonzalez, C. E., Cuellar-Hernández, L., Hoyos-Reyes, C., Ruiz-Gomez, R., Contreras-Hernandez, A. D., Alvarez-Gasca, O., Gonzalez-Martinez, F. J., Filobello-Nino, U., Vazquez-Leal, H., Sandoval-Hernandez, M., Perez-Sesma, J. A. A., Perez-Sesma, A., Sarmiento-Reyes, A., Jimenez-Fernandez, V. M., Huerta-Chua, J., Pereyra-Diaz, D., Castro-Gonzalez, F., Laguna-Camacho, J. R., Gasca-Herrera, A. E., Pretelin Canela, J. E., Palma-Grayeb, B. E., Cervantes-Perez, J., Sampieri-Gonzalez, C. E., Cuellar-Hernández, L., Hoyos-Reyes, C., Ruiz-Gomez, R., Contreras-Hernandez, A. D., Alvarez-Gasca, O., and Gonzalez-Martinez, F. J.

Abstract

This article proposes Perturbation Method (PM) to solve nonlinear problems. As case study PM is employed to provide a detailed study of a nonlinear galactic model. Our approach is rather elementary and seeks to explain as much detail as possible the material of this work.In particular our solution gives rise qualitatively, to the known flat rotation curves. In fact, we compare the numerical solution and the obtained approximation by employing observational data proving the validity and high accuracy of the model under study.

Published
2017

11. Application of HPM to Solve Unsteady Squeezing Flow of a Second-Grade Fluid between Circular Plates

Author

Vazquez-Leal, H., Filobello-Nino, U., Sarmiento-Reyes, A., Sandoval-Hernandez, M., Perez-Sesma, J. A. A., Perez-Sesma, A., Jimenez-Fernandez, V. M., Huerta-Chua, J., Castro-Gonzalez, F., Sanchez-Orea, J., Hernández Machuca, S. F., Cuellar-Hernández, L., Pretelin Canela, J. E., Gasca-Herrera, A. E., Sampieri-Gonzalez, C. E., Palma-Grayeb, B. E., Contreras-Hernandez, A. D., Alvarez-Gasca, O., Gonzalez-Martinez, F. J., Vazquez-Leal, H., Filobello-Nino, U., Sarmiento-Reyes, A., Sandoval-Hernandez, M., Perez-Sesma, J. A. A., Perez-Sesma, A., Jimenez-Fernandez, V. M., Huerta-Chua, J., Castro-Gonzalez, F., Sanchez-Orea, J., Hernández Machuca, S. F., Cuellar-Hernández, L., Pretelin Canela, J. E., Gasca-Herrera, A. E., Sampieri-Gonzalez, C. E., Palma-Grayeb, B. E., Contreras-Hernandez, A. D., Alvarez-Gasca, O., and Gonzalez-Martinez, F. J.

Abstract

In this article, Homotopy Perturbation Method (HPM) is used to provide two approximate solutions to the nonlinear differential equation that describes the behaviour for the unsteady squeezing flow of a second grade fluid between circular plates. Comparing results between approximate and numerical solutions shows that our results are capable to provide an accurate solution and are extremely efficient.

Published
2017

12. A High Accurate Approximation for a Galactic Newtonian Nonlinear Model Validated by Employing Observational Data

Author

Filobello-Nino, U., Vazquez-Leal, H., Sandoval-Hernandez, M., Perez-Sesma, J. A. A., Perez-Sesma, A., Sarmiento-Reyes, A., Jimenez-Fernandez, V. M., Huerta-Chua, J., Pereyra-Diaz, D., Castro-Gonzalez, F., Laguna-Camacho, J. R., Gasca-Herrera, A. E., Pretelin Canela, J. E., Palma-Grayeb, B. E., Cervantes-Perez, J., Sampieri-Gonzalez, C. E., Cuellar-Hernández, L., Hoyos-Reyes, C., Ruiz-Gomez, R., Contreras-Hernandez, A. D., Alvarez-Gasca, O., Gonzalez-Martinez, F. J., Filobello-Nino, U., Vazquez-Leal, H., Sandoval-Hernandez, M., Perez-Sesma, J. A. A., Perez-Sesma, A., Sarmiento-Reyes, A., Jimenez-Fernandez, V. M., Huerta-Chua, J., Pereyra-Diaz, D., Castro-Gonzalez, F., Laguna-Camacho, J. R., Gasca-Herrera, A. E., Pretelin Canela, J. E., Palma-Grayeb, B. E., Cervantes-Perez, J., Sampieri-Gonzalez, C. E., Cuellar-Hernández, L., Hoyos-Reyes, C., Ruiz-Gomez, R., Contreras-Hernandez, A. D., Alvarez-Gasca, O., and Gonzalez-Martinez, F. J.

Abstract

This article proposes Perturbation Method (PM) to solve nonlinear problems. As case study PM is employed to provide a detailed study of a nonlinear galactic model. Our approach is rather elementary and seeks to explain as much detail as possible the material of this work.In particular our solution gives rise qualitatively, to the known flat rotation curves. In fact, we compare the numerical solution and the obtained approximation by employing observational data proving the validity and high accuracy of the model under study.

Published
2017

13. Application of HPM to Solve Unsteady Squeezing Flow of a Second-Grade Fluid between Circular Plates

Author

Vazquez-Leal, H., Filobello-Nino, U., Sarmiento-Reyes, A., Sandoval-Hernandez, M., Perez-Sesma, J. A. A., Perez-Sesma, A., Jimenez-Fernandez, V. M., Huerta-Chua, J., Castro-Gonzalez, F., Sanchez-Orea, J., Hernández Machuca, S. F., Cuellar-Hernández, L., Pretelin Canela, J. E., Gasca-Herrera, A. E., Sampieri-Gonzalez, C. E., Palma-Grayeb, B. E., Contreras-Hernandez, A. D., Alvarez-Gasca, O., Gonzalez-Martinez, F. J., Vazquez-Leal, H., Filobello-Nino, U., Sarmiento-Reyes, A., Sandoval-Hernandez, M., Perez-Sesma, J. A. A., Perez-Sesma, A., Jimenez-Fernandez, V. M., Huerta-Chua, J., Castro-Gonzalez, F., Sanchez-Orea, J., Hernández Machuca, S. F., Cuellar-Hernández, L., Pretelin Canela, J. E., Gasca-Herrera, A. E., Sampieri-Gonzalez, C. E., Palma-Grayeb, B. E., Contreras-Hernandez, A. D., Alvarez-Gasca, O., and Gonzalez-Martinez, F. J.

Abstract

In this article, Homotopy Perturbation Method (HPM) is used to provide two approximate solutions to the nonlinear differential equation that describes the behaviour for the unsteady squeezing flow of a second grade fluid between circular plates. Comparing results between approximate and numerical solutions shows that our results are capable to provide an accurate solution and are extremely efficient.

Published
2017

14. Classical Perturbation Method for the Solution of a Model of Diffusion and Reaction

Author

Filobello-Nino, U., Vazquez-Leal, H., Perez-Sesma, J. A. A., Perez-Sesma, A., Sandoval-Hernandez, M., Sarmiento-Reyes, A., Huerta-Chua, J., Jimenez-Fernandez, V. M., Pereyra-Diaz, D., Hernandez-Machuca, S. F., Cuellar-Hernandez, L., Castro-Gonzalez, F., Gasca-Herrera, A. E., Pretelin Canela, J. E., Contreras-Hernandez, A. D., Alvarez-Gasca, O., Palma-Grayeb, B. E., Rocha-Fernandez, J. L., Sanchez-Orea, J., Sampieri-Gonzalez, C. E., Gonzalez-Martinez, F. J., Filobello-Nino, U., Vazquez-Leal, H., Perez-Sesma, J. A. A., Perez-Sesma, A., Sandoval-Hernandez, M., Sarmiento-Reyes, A., Huerta-Chua, J., Jimenez-Fernandez, V. M., Pereyra-Diaz, D., Hernandez-Machuca, S. F., Cuellar-Hernandez, L., Castro-Gonzalez, F., Gasca-Herrera, A. E., Pretelin Canela, J. E., Contreras-Hernandez, A. D., Alvarez-Gasca, O., Palma-Grayeb, B. E., Rocha-Fernandez, J. L., Sanchez-Orea, J., Sampieri-Gonzalez, C. E., and Gonzalez-Martinez, F. J.

Abstract

In this paper, we employ perturbation method (PM) to solve nonlinear problems. As case study PM is employed to obtain approximate solutions for the nonlinear differential equation that models the diffusion and reaction in porous catalysts. We find that the square residual error (S.R.E) of our solutions is in the range and this requires only the third order approximation of PM, which shows the effectiveness of the method.

Published
2017

15. A High Accurate Approximation for a Galactic Newtonian Nonlinear Model Validated by Employing Observational Data

Author

Filobello-Nino, U., Vazquez-Leal, H., Sandoval-Hernandez, M., Perez-Sesma, J. A. A., Perez-Sesma, A., Sarmiento-Reyes, A., Jimenez-Fernandez, V. M., Huerta-Chua, J., Pereyra-Diaz, D., Castro-Gonzalez, F., Laguna-Camacho, J. R., Gasca-Herrera, A. E., Pretelin Canela, J. E., Palma-Grayeb, B. E., Cervantes-Perez, J., Sampieri-Gonzalez, C. E., Cuellar-Hernández, L., Hoyos-Reyes, C., Ruiz-Gomez, R., Contreras-Hernandez, A. D., Alvarez-Gasca, O., Gonzalez-Martinez, F. J., Filobello-Nino, U., Vazquez-Leal, H., Sandoval-Hernandez, M., Perez-Sesma, J. A. A., Perez-Sesma, A., Sarmiento-Reyes, A., Jimenez-Fernandez, V. M., Huerta-Chua, J., Pereyra-Diaz, D., Castro-Gonzalez, F., Laguna-Camacho, J. R., Gasca-Herrera, A. E., Pretelin Canela, J. E., Palma-Grayeb, B. E., Cervantes-Perez, J., Sampieri-Gonzalez, C. E., Cuellar-Hernández, L., Hoyos-Reyes, C., Ruiz-Gomez, R., Contreras-Hernandez, A. D., Alvarez-Gasca, O., and Gonzalez-Martinez, F. J.

Abstract

This article proposes Perturbation Method (PM) to solve nonlinear problems. As case study PM is employed to provide a detailed study of a nonlinear galactic model. Our approach is rather elementary and seeks to explain as much detail as possible the material of this work.In particular our solution gives rise qualitatively, to the known flat rotation curves. In fact, we compare the numerical solution and the obtained approximation by employing observational data proving the validity and high accuracy of the model under study.

Published
2017

16. Application of HPM to Solve Unsteady Squeezing Flow of a Second-Grade Fluid between Circular Plates

Author

Vazquez-Leal, H., Filobello-Nino, U., Sarmiento-Reyes, A., Sandoval-Hernandez, M., Perez-Sesma, J. A. A., Perez-Sesma, A., Jimenez-Fernandez, V. M., Huerta-Chua, J., Castro-Gonzalez, F., Sanchez-Orea, J., Hernández Machuca, S. F., Cuellar-Hernández, L., Pretelin Canela, J. E., Gasca-Herrera, A. E., Sampieri-Gonzalez, C. E., Palma-Grayeb, B. E., Contreras-Hernandez, A. D., Alvarez-Gasca, O., Gonzalez-Martinez, F. J., Vazquez-Leal, H., Filobello-Nino, U., Sarmiento-Reyes, A., Sandoval-Hernandez, M., Perez-Sesma, J. A. A., Perez-Sesma, A., Jimenez-Fernandez, V. M., Huerta-Chua, J., Castro-Gonzalez, F., Sanchez-Orea, J., Hernández Machuca, S. F., Cuellar-Hernández, L., Pretelin Canela, J. E., Gasca-Herrera, A. E., Sampieri-Gonzalez, C. E., Palma-Grayeb, B. E., Contreras-Hernandez, A. D., Alvarez-Gasca, O., and Gonzalez-Martinez, F. J.

Abstract

In this article, Homotopy Perturbation Method (HPM) is used to provide two approximate solutions to the nonlinear differential equation that describes the behaviour for the unsteady squeezing flow of a second grade fluid between circular plates. Comparing results between approximate and numerical solutions shows that our results are capable to provide an accurate solution and are extremely efficient.

Published
2017

17. Classical Perturbation Method for the Solution of a Model of Diffusion and Reaction

Author

Filobello-Nino, U., Vazquez-Leal, H., Perez-Sesma, J. A. A., Perez-Sesma, A., Sandoval-Hernandez, M., Sarmiento-Reyes, A., Huerta-Chua, J., Jimenez-Fernandez, V. M., Pereyra-Diaz, D., Hernandez-Machuca, S. F., Cuellar-Hernandez, L., Castro-Gonzalez, F., Gasca-Herrera, A. E., Pretelin Canela, J. E., Contreras-Hernandez, A. D., Alvarez-Gasca, O., Palma-Grayeb, B. E., Rocha-Fernandez, J. L., Sanchez-Orea, J., Sampieri-Gonzalez, C. E., Gonzalez-Martinez, F. J., Filobello-Nino, U., Vazquez-Leal, H., Perez-Sesma, J. A. A., Perez-Sesma, A., Sandoval-Hernandez, M., Sarmiento-Reyes, A., Huerta-Chua, J., Jimenez-Fernandez, V. M., Pereyra-Diaz, D., Hernandez-Machuca, S. F., Cuellar-Hernandez, L., Castro-Gonzalez, F., Gasca-Herrera, A. E., Pretelin Canela, J. E., Contreras-Hernandez, A. D., Alvarez-Gasca, O., Palma-Grayeb, B. E., Rocha-Fernandez, J. L., Sanchez-Orea, J., Sampieri-Gonzalez, C. E., and Gonzalez-Martinez, F. J.

Abstract

In this paper, we employ perturbation method (PM) to solve nonlinear problems. As case study PM is employed to obtain approximate solutions for the nonlinear differential equation that models the diffusion and reaction in porous catalysts. We find that the square residual error (S.R.E) of our solutions is in the range and this requires only the third order approximation of PM, which shows the effectiveness of the method.

Published
2017

18. Application of HPM to Solve Unsteady Squeezing Flow of a Second-Grade Fluid between Circular Plates

Author

Vazquez-Leal, H., Filobello-Nino, U., Sarmiento-Reyes, A., Sandoval-Hernandez, M., Perez-Sesma, J. A. A., Perez-Sesma, A., Jimenez-Fernandez, V. M., Huerta-Chua, J., Castro-Gonzalez, F., Sanchez-Orea, J., Hernández Machuca, S. F., Cuellar-Hernández, L., Pretelin Canela, J. E., Gasca-Herrera, A. E., Sampieri-Gonzalez, C. E., Palma-Grayeb, B. E., Contreras-Hernandez, A. D., Alvarez-Gasca, O., Gonzalez-Martinez, F. J., Vazquez-Leal, H., Filobello-Nino, U., Sarmiento-Reyes, A., Sandoval-Hernandez, M., Perez-Sesma, J. A. A., Perez-Sesma, A., Jimenez-Fernandez, V. M., Huerta-Chua, J., Castro-Gonzalez, F., Sanchez-Orea, J., Hernández Machuca, S. F., Cuellar-Hernández, L., Pretelin Canela, J. E., Gasca-Herrera, A. E., Sampieri-Gonzalez, C. E., Palma-Grayeb, B. E., Contreras-Hernandez, A. D., Alvarez-Gasca, O., and Gonzalez-Martinez, F. J.

Abstract

In this article, Homotopy Perturbation Method (HPM) is used to provide two approximate solutions to the nonlinear differential equation that describes the behaviour for the unsteady squeezing flow of a second grade fluid between circular plates. Comparing results between approximate and numerical solutions shows that our results are capable to provide an accurate solution and are extremely efficient.

Published
2017

19. Classical Perturbation Method for the Solution of a Model of Diffusion and Reaction

Author

Filobello-Nino, U., Vazquez-Leal, H., Perez-Sesma, J. A. A., Perez-Sesma, A., Sandoval-Hernandez, M., Sarmiento-Reyes, A., Huerta-Chua, J., Jimenez-Fernandez, V. M., Pereyra-Diaz, D., Hernandez-Machuca, S. F., Cuellar-Hernandez, L., Castro-Gonzalez, F., Gasca-Herrera, A. E., Pretelin Canela, J. E., Contreras-Hernandez, A. D., Alvarez-Gasca, O., Palma-Grayeb, B. E., Rocha-Fernandez, J. L., Sanchez-Orea, J., Sampieri-Gonzalez, C. E., Gonzalez-Martinez, F. J., Filobello-Nino, U., Vazquez-Leal, H., Perez-Sesma, J. A. A., Perez-Sesma, A., Sandoval-Hernandez, M., Sarmiento-Reyes, A., Huerta-Chua, J., Jimenez-Fernandez, V. M., Pereyra-Diaz, D., Hernandez-Machuca, S. F., Cuellar-Hernandez, L., Castro-Gonzalez, F., Gasca-Herrera, A. E., Pretelin Canela, J. E., Contreras-Hernandez, A. D., Alvarez-Gasca, O., Palma-Grayeb, B. E., Rocha-Fernandez, J. L., Sanchez-Orea, J., Sampieri-Gonzalez, C. E., and Gonzalez-Martinez, F. J.

Abstract

In this paper, we employ perturbation method (PM) to solve nonlinear problems. As case study PM is employed to obtain approximate solutions for the nonlinear differential equation that models the diffusion and reaction in porous catalysts. We find that the square residual error (S.R.E) of our solutions is in the range and this requires only the third order approximation of PM, which shows the effectiveness of the method.

Published
2017

20. A High Accurate Approximation for a Galactic Newtonian Nonlinear Model Validated by Employing Observational Data

Author

Filobello-Nino, U., Vazquez-Leal, H., Sandoval-Hernandez, M., Perez-Sesma, J. A. A., Perez-Sesma, A., Sarmiento-Reyes, A., Jimenez-Fernandez, V. M., Huerta-Chua, J., Pereyra-Diaz, D., Castro-Gonzalez, F., Laguna-Camacho, J. R., Gasca-Herrera, A. E., Pretelin Canela, J. E., Palma-Grayeb, B. E., Cervantes-Perez, J., Sampieri-Gonzalez, C. E., Cuellar-Hernández, L., Hoyos-Reyes, C., Ruiz-Gomez, R., Contreras-Hernandez, A. D., Alvarez-Gasca, O., Gonzalez-Martinez, F. J., Filobello-Nino, U., Vazquez-Leal, H., Sandoval-Hernandez, M., Perez-Sesma, J. A. A., Perez-Sesma, A., Sarmiento-Reyes, A., Jimenez-Fernandez, V. M., Huerta-Chua, J., Pereyra-Diaz, D., Castro-Gonzalez, F., Laguna-Camacho, J. R., Gasca-Herrera, A. E., Pretelin Canela, J. E., Palma-Grayeb, B. E., Cervantes-Perez, J., Sampieri-Gonzalez, C. E., Cuellar-Hernández, L., Hoyos-Reyes, C., Ruiz-Gomez, R., Contreras-Hernandez, A. D., Alvarez-Gasca, O., and Gonzalez-Martinez, F. J.

Abstract

This article proposes Perturbation Method (PM) to solve nonlinear problems. As case study PM is employed to provide a detailed study of a nonlinear galactic model. Our approach is rather elementary and seeks to explain as much detail as possible the material of this work.In particular our solution gives rise qualitatively, to the known flat rotation curves. In fact, we compare the numerical solution and the obtained approximation by employing observational data proving the validity and high accuracy of the model under study.

Published
2017

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