A series solution of the nonlinear Volterra and Fredholm integro-differential equations |
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Authors: | A. Shidfar A. Molabahrami A. Babaei A. Yazdanian |
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Affiliation: | aDepartment of Mathematics, Iran University of Science and Technology, Tehran, Iran;bDepartment of Mathematics, Ilam University, PO Box 69315516, Ilam, Iran |
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Abstract: | In this paper, the HAM is applied to obtained the series solution of the high-order nonlinear Volterra and Fredholm integro-differential problems with power-law nonlinearity. Two cases are considered, in the first case the set of base functions is introduced to represent solution of given nonlinear problem and in the other case, the set of base functions is not introduced. However, in both cases, the convergence-parameter provides us with a simple way to adjust and control the convergence region of solution series. |
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Keywords: | Homotopy analysis method Series solution Integro-differential equation Volterra Fredholm |
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