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A series solution of the nonlinear Volterra and Fredholm integro-differential equations

✍ Scribed by A. Shidfar; A. Molabahrami; A. Babaei; A. Yazdanian

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
706 KB
Volume
15
Category
Article
ISSN
1007-5704

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✦ Synopsis

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.

πŸ“œ SIMILAR VOLUMES

Numerical solution of nonlinear Volterra
Numerical solution of nonlinear Volterra–Fredholm integro-differential equations
✍ P. Darania; K. Ivaz πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 298 KB

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