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Numerical approach for nonlinear system of Fredholm-Volterra integral equations.
- Source :
- AIP Conference Proceedings; 2021, Vol. 2365 Issue 1, p1-10, 10p
- Publication Year :
- 2021
-
Abstract
- In this note, the homotopy analysis method (HAM) is applied as a tool for solving the system of non-linear Fredholm-Volterra integral equations. The generalized chain rule is implemented for differentiation of the non-linear kernel functions with many variables, and the non-linear problem is reduced into a sequence of known non-linear integral equa- tions. The proposed method is compared with the homotopy perturbation method (HPM) given in Yusufogli [20] and Biazar and Ghazyini [21]. Numerical results reveal that the proposed method is very effective with high accuracy and dominated the HPM. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0094243X
- Volume :
- 2365
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- AIP Conference Proceedings
- Publication Type :
- Conference
- Accession number :
- 151436802
- Full Text :
- https://doi.org/10.1063/5.0057121