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Convergence Analysis for the Homotopy Perturbation Method for a Linear System of Mixed Volterra-Fredholm Integral Equations
- Source :
- Baghdad Science Journal, Vol 17, Iss 3(Suppl.) (2020)
- Publication Year :
- 2020
- Publisher :
- College of Science for Women, University of Baghdad, 2020.
-
Abstract
- In this paper, the homotopy perturbation method (HPM) is presented for treating a linear system of second-kind mixed Volterra-Fredholm integral equations. The method is based on constructing the series whose summation is the solution of the considered system. Convergence of constructed series is discussed and its proof is given; also, the error estimation is obtained. Algorithm is suggested and applied on several examples and the results are computed by using MATLAB (R2015a). To show the accuracy of the results and the effectiveness of the method, the approximate solutions of some examples are compared with the exact solution by computing the absolute errors.
- Subjects :
- General Computer Science
General Mathematics
Linear system
General Physics and Astronomy
General Chemistry
Agricultural and Biological Sciences (miscellaneous)
Integral equation
General Biochemistry, Genetics and Molecular Biology
Homotopy perturbation method, linear system of second kind mixed Volterra-Fredholm integral equations
Convergence (routing)
Applied mathematics
lcsh:Q
Homotopy perturbation method
lcsh:Science
Mathematics
Subjects
Details
- Language :
- Arabic
- ISSN :
- 24117986 and 20788665
- Volume :
- 17
- Issue :
- 3
- Database :
- OpenAIRE
- Journal :
- Baghdad Science Journal
- Accession number :
- edsair.doi.dedup.....ae04ea1bdf7023a7cb2ad155d703510e