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2. Numerical approach for nonlinear system of Fredholm-Volterra integral equations.

Author

Eshkuvatov, Zainidin, Mamatova, Husnida, Ismail, Shahrina, Abdullah, Ilyani, Aloev, Rakhmatillo, Aloev, Rakhmatillo D., Shadimetov, Kholmat M., Hayotov, Abdullo R., and Khudoyberganov, Mirzoali U.

Subjects
*INTEGRAL equations, *NONLINEAR systems, *NONLINEAR equations, *KERNEL functions, *NONLINEAR functions
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]

Published
2021
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