<abstract xmlns="http://www.w3.org/1999/xhtml"><p>This paper introduces an approach for obtaining the numerical solution of the linear and nonlinear integro-differential equations using Chebyshev wavelets approximations. Illustrative examples have been discussed to demonstrate the validity and applicability of the technique and the results have been compared with the exact solution. Comparison of the approximate solution with exact solution shows that the used method is effectiveness and practical for classes of linear and nonlinear system of integro-differential equations.</p></abstract>

This paper introduces an approach for obtaining the numerical solution of the linear and nonlinear integro-differential equations using Chebyshev wavelets approximations. Illustrative examples have been discussed to demonstrate the validity and applicability of the technique and the results have been compared with the exact solution. Comparison of the approximate solution with exact solution shows that the used method is effectiveness and practical for classes of linear and nonlinear system of integro-differential equations.

Numerical solution of nonlinear system of integro-differential equations using Chebyshev wavelets

Department of Applied Mathematics, School of Mathematical Sciences, University of Guilan, P.O. Box 1914, P.C. 41938, Rasht, Iran

Journal of Applied Mathematics, Statistics and Informatics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

This paper introduces an approach for obtaining the numerical solution of the linear and nonlinear integro-differential equations using Chebyshev wavelets...

Numerical solution of nonlinear system of integro-differential equations using Chebyshev wavelets

Published Online: Dec 30, 2015

Page range: 15 - 34

DOI: https://doi.org/10.1515/jamsi-2015-0009

© 2015 Faculty of Natural Sciences, University of Saint Cyril and Metodius

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.