Two-dimensional Legendre Wavelets Method for the Mixed Volterra-Fredholm Integral Equations-Reference-Cited by-同舟云学术

Two-dimensional Legendre Wavelets Method for the Mixed Volterra-Fredholm Integral Equations

Published:2007-11 Issue:11 Volume:13 Page:1667-1675
ISSN:1077-5463
Container-title:Journal of Vibration and Control
language:en
Short-container-title:Journal of Vibration and Control

Author:

Banifatemi E.¹,Razzaghi M.²,Yousefi S.³

Affiliation:

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

2. Department of Mathematics and Statistics, Mississippi State University, Mississippi State, MS 39762, USA, , Department of Applied Mathematics, Amirkabir University of Technology, Tehran, Iran

3. Department of Mathematics, Shahid Beheshti University, Tehran, Iran

Abstract

This article presents a numerical method for solving nonlinear mixed Volterra-Fredholm integral equations. The method is based on two-dimensional Legendre wavelet approximations. The properties of Legendre wavelets are utilized together with the Gaussian integration method to reduce the mixed integral equations to the solution of algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the technique.

Publisher

SAGE Publications

Subject

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

Link

http://journals.sagepub.com/doi/pdf/10.1177/1077546307078751

Reference20 articles.

1. Fast wavelet transforms and numerical algorithms I

2. On the Numerical Solution of Nonlinear Volterra–Fredholm Integral Equations by Collocation Methods

3. Wavelets

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