Application of Rational Second Kind Chebyshev Functions for System of Integrodifferential Equations on Semi-Infinite Intervals-Reference-Cited by-同舟云学术

Application of Rational Second Kind Chebyshev Functions for System of Integrodifferential Equations on Semi-Infinite Intervals

Published:2012 Issue: Volume:2012 Page:1-11
ISSN:1110-757X
Container-title:Journal of Applied Mathematics
language:en
Short-container-title:Journal of Applied Mathematics

Author:

Tavassoli Kajani M.¹,Vahdati S.²,Abbas Zulkifly³,Maleki Mohammad⁴

Affiliation:

1. Department of Mathematics, Islamic Azad University, Khorasgan Branch, 81515-158 Isfahan, Iran

2. Department of Mathematics, Khansar Faculty of Computer and Mathematics, University of Isfahan, Isfahan 81746-73441, Iran

3. Department of Physics, Faculty of Science, University Putra Malaysia, 43400 Serdang, Selangor, Malaysia

4. Department of Mathematics, Islamic Azad University, Mobarakeh Branch, 84819-14411 Isfahan, Iran

Abstract

Rational Chebyshev bases and Galerkin method are used to obtain the approximate solution of a system of high-order integro-differential equations on the interval [0,∞). This method is based on replacement of the unknown functions by their truncated series of rational Chebyshev expansion. Test examples are considered to show the high accuracy, simplicity, and efficiency of this method.

Publisher

Hindawi Limited

Subject

Applied Mathematics

Link

http://downloads.hindawi.com/journals/jam/2012/803503.pdf

Reference31 articles.

1. Evaluating of Dawson’s Integral by solving its differential equation using orthogonal rational Chebyshev functions

2. Analytical and Numerical Methods for Volterra Equations

3. Numerical solution of linear Fredholm integral equation by using hybrid Taylor and Block-Pulse functions

4. A simple Taylor-series expansion method for a class of second kind integral equations

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