A pseudospectral method for the solution of second-order integro-differential equations-Reference-Cited by-同舟云学术

A pseudospectral method for the solution of second-order integro-differential equations

Published:2011-04-12 Issue:14 Volume:17 Page:2158-2163
ISSN:1077-5463
Container-title:Journal of Vibration and Control
language:en
Short-container-title:Journal of Vibration and Control

Author:

Alipanah Amjad¹,Dehghan Mehdi²

Affiliation:

1. Department of Applied Mathematics, University of Kurdistan, Sanandaj, Iran

2. Department of Applied Mathematics, Amirkabir University of Technology, Tehran, Iran

Abstract

In this paper we present a computational technique for solving the second-order Fredholm integro-differential equations. The method is based on a non-classical pseudospectral method. The differential matrices are computed and are utilized to reduce the second-order Fredholm integro-differential equations to algebraic equations. Numerical examples are presented to demonstrate the validity and applicability of the new method.

Publisher

SAGE Publications

Subject

Mechanical Engineering,Mechanics of Materials,Aerospace Engineering,Automotive Engineering,General Materials Science

Link

http://journals.sagepub.com/doi/pdf/10.1177/1077546311399945

Reference33 articles.

1. An advanced numerical model in solving thin-wire integral equations by using semi-orthogonal compactly supported spline wavelets

2. A spectral solution of the Sturm–Liouville equation: comparison of classical and nonclassical basis sets

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