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Sinc numerical solution for the Volterra integro-differential equation

✍ Scribed by M. Zarebnia

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

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✦ Synopsis

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 Γ€k ffiffi ffi

where k > 0 is a constant. This approximation reduces the Volterra integro-differential equation to an explicit system of algebraic equations. The method is applied to a few test examples to illustrate the accuracy and the implementation of the method.

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