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15 results on '"Cervantes-Perez, J."'

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. 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

6. Analytical Solutions for Systems of Singular Partial Differential-Algebraic Equations

Author

Filobello-Nino, U., primary, Vazquez-Leal, H., additional, Benhammouda, B., additional, Perez-Sesma, A., additional, Jimenez-Fernandez, V. M., additional, Cervantes-Perez, J., additional, Sarmiento-Reyes, A., additional, Huerta-Chua, J., additional, Morales-Mendoza, L. J., additional, Gonzalez-Lee, M., additional, Diaz-Sanchez, A., additional, Pereyra-Díaz, D., additional, and López-Martínez, R., additional

Published
2015
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7. Nonlinearities Distribution Homotopy Perturbation Method Applied to Solve Nonlinear Problems: Thomas-Fermi Equation as a Case Study

Author

Filobello-Nino, U., primary, Vazquez-Leal, H., additional, Boubaker, K., additional, Sarmiento-Reyes, A., additional, Perez-Sesma, A., additional, Diaz-Sanchez, A., additional, Jimenez-Fernandez, V. M., additional, Cervantes-Perez, J., additional, Sanchez-Orea, J., additional, Huerta-Chua, J., additional, Morales-Mendoza, L. J., additional, Gonzalez-Lee, M., additional, Hernandez-Mejia, C., additional, and Gonzalez-Martinez, F. J., additional

Published
2015
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8. Approximate Solutions for Flow with a Stretching Boundary due to Partial Slip

Author

Filobello-Nino, U., primary, Vazquez-Leal, H., additional, Sarmiento-Reyes, A., additional, Benhammouda, B., additional, Jimenez-Fernandez, V. M., additional, Pereyra-Diaz, D., additional, Perez-Sesma, A., additional, Cervantes-Perez, J., additional, Huerta-Chua, J., additional, Sanchez-Orea, J., additional, and Contreras-Hernandez, A. D., additional

Published
2014
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10. Homotopy-continuation Picard method

Author

Vazquez-Leal, H., primary, Khan, Y., additional, Sarmiento-Reyes, A., additional, Filobello-Nino, U., additional, Diaz-Sanchez, A., additional, Jimenez-Fernandez, V.M., additional, Herrera-May, A., additional, Cervantes-Perez, J., additional, and Huerta-Chua, J., additional

Published
2013
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11. Approximate Solutions for Flow with a Stretching Boundary due to Partial Slip.

Author

Filobello-Nino, U., Vazquez-Leal, H., Sarmiento-Reyes, A., Benhammouda, B., Jimenez-Fernandez, V. M., Pereyra-Diaz, D., Perez-Sesma, A., Cervantes-Perez, J., Huerta-Chua, J., Sanchez-Orea, J., and Contreras-Hernandez, A. D.

Subjects
APPROXIMATION theory, ATMOSPHERIC boundary layer, HOMOTOPY theory, PERTURBATION theory, LAPLACE'S equation
Abstract

The homotopy perturbation method (HPM) is coupled with versions of Laplace-Pade and Pade methods to provide an approximate solution to the nonlinear differential equation that describes the behaviour of a flow with a stretching flat boundary due to partial slip. Comparing results between approximate and numerical solutions, we concluded that our results are capable of providing an accurate solution and are extremely efficient. [ABSTRACT FROM AUTHOR]

Published
2014
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13. Nonlinearities distribution Laplace transform-homotopy perturbation method.

Author

Filobello-Nino U, Vazquez-Leal H, Benhammouda B, Hernandez-Martinez L, Hoyos-Reyes C, Perez-Sesma JA, Jimenez-Fernandez VM, Pereyra-Diaz D, Marin-Hernandez A, Diaz-Sanchez A, Huerta-Chua J, and Cervantes-Perez J

Abstract

This article proposes non-linearities distribution Laplace transform-homotopy perturbation method (NDLT-HPM) to find approximate solutions for linear and nonlinear differential equations with finite boundary conditions. We will see that the method is particularly relevant in case of equations with nonhomogeneous non-polynomial terms. Comparing figures between approximate and exact solutions we show the effectiveness of the proposed method.

Published
2014
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14. A handy approximate solution for a squeezing flow between two infinite plates by using of Laplace transform-homotopy perturbation method.

Author

Filobello-Nino U, Vazquez-Leal H, Cervantes-Perez J, Benhammouda B, Perez-Sesma A, Hernandez-Martinez L, Jimenez-Fernandez VM, Herrera-May AL, Pereyra-Diaz D, Marin-Hernandez A, and Huerta Chua J

Abstract

This article proposes Laplace Transform Homotopy Perturbation Method (LT-HPM) to find an approximate solution for the problem of an axisymmetric Newtonian fluid squeezed between two large parallel plates. After comparing figures between approximate and exact solutions, we will see that the proposed solutions besides of handy, are highly accurate and therefore LT-HPM is extremely efficient.

Published
2014
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15. A handy approximation for a mediated bioelectrocatalysis process, related to Michaelis-Menten equation.

Author

Filobello-Nino U, Vazquez-Leal H, Benhammouda B, Hernandez-Martinez L, Khan Y, Jimenez-Fernandez VM, Herrera-May AL, Castaneda-Sheissa R, Pereyra-Diaz D, Cervantes-Perez J, Agustin Perez-Sesma JA, Hernandez-Machuca SF, and Cuellar-Hernandez L

Abstract

In this article, Perturbation Method (PM) is employed to obtain a handy approximate solution to the steady state nonlinear reaction diffusion equation containing a nonlinear term related to Michaelis-Menten of the enzymatic reaction. Comparing graphics between the approximate and exact solutions, it will be shown that the PM method is quite efficient.

Published
2014
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