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
Numerical solution of nonlinear Volterra–Fredholm integro-differential equations
✍ Scribed by P. Darania; K. Ivaz
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 298 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0898-1221
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✦ Synopsis
The aim of this paper is to present an efficient analytical and numerical procedure for solving the high-order nonlinear Volterra-Fredholm integro-differential equations. Our method depends mainly on a Taylor expansion approach. This method transforms the integro-differential equation and the given conditions into the matrix equation. The reliability and efficiency of the proposed scheme are demonstrated by some numerical experiments.
📜 SIMILAR VOLUMES
In this paper, numerical solution of Volterra integro-differential equation by means of the Sinc collocation method is considered. Convergence analysis is given, it is shown that the Sinc solution produces an error of order O e Àk ffiffi ffi where k > 0 is a constant. This approximation reduces the