Legendre wavelets method for the nonlinear Volterra-Fredholm integral equations

Authors:
S. Yousefi;M. Razzaghi
Affiliations:
Department of Mathematics, Mazandaran University, Babolsar, Iran;Department of Mathematics and Statistics, Mississippi State University, MS 39762, USA and Department of Applied Mathematics, Amirkabir University of Technology, Tehran, Iran
Venue:
Mathematics and Computers in Simulation
Year:
2005

Citing 5
Cited 6

Implicitly linear collocation methods for nonlinear Volterra equations

Selected papers from the international conference on Numerical solution of Volterra and delay equations
Asymptotic error expansion of a collocation-type method for Volterra-Hammerstein integral equations

Applied Numerical Mathematics
Legendre wavelets direct method for variational problems

Mathematics and Computers in Simulation
Applied Numerical Methods with Personal Computers

Applied Numerical Methods with Personal Computers
Taylor polynomial solutions of nonlinear Volterra-Fredholm integral equations

Applied Mathematics and Computation

Extended Legendre Wavelets Neural Network

ICIC '08 Proceedings of the 4th international conference on Intelligent Computing: Advanced Intelligent Computing Theories and Applications - with Aspects of Artificial Intelligence
He's variational iteration method for solving nonlinear mixed Volterra-Fredholm integral equations

Computers & Mathematics with Applications
Techniques for solving integral and differential equations by Legendre wavelets

International Journal of Systems Science
Numerical solution for the weakly singular Fredholm integro-differential equations using Legendre multiwavelets

Journal of Computational and Applied Mathematics
Solving Volterra integral equations of the second kind by wavelet-Galerkin scheme

Computers & Mathematics with Applications
New algorithms for the numerical solution of nonlinear Fredholm and Volterra integral equations using Haar wavelets

Journal of Computational and Applied Mathematics

Quantified Score

Hi-index	0.00

Visualization

Abstract

A numerical method for solving the nonlinear Volterra-Fredholm integral equations is presented. The method is based upon Legendre wavelet approximations. The properties of Legendre wavelet are first presented. These properties together with the Gaussian integration method are then utilized to reduce the Volterra-Fredholm integral equations to the solution of algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the technique.