Approximare Analytical Solution for High-Order Integro-Differential Equation by Chebyshev Waveletes

Authors

Hossein Aminikhah, Department of Applied Mathematics, School of Mathematical Sciences, University of Guilan, P.O. Box 1914, P.C. 41938, Rasht, IranFollow
Sahar Hosseini, Department of Applied Mathematics, School of Mathematical Sciences, University of Guilan, P.O. Box 1914, P.C. 41938, Rasht, IranFollow
Javad Alavi, Department of Applied Mathematics, School of Mathematical Sciences, University of Guilan, P.O. Box 1914, P.C. 41938, Rasht, IranFollow

Abstract

In this work, we present a computational method for solving high-order integro-differential equations which is based on the use of Chebyshev Wavelets. The solution process is illustrated and various physically relevant results are obtained. 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 obtained results with exact solutions shows that the used method is an effective and highly promising method for various classes of high-order integro-differential equations.

Recommended Citation

Aminikhah, Hossein; Hosseini, Sahar; and Alavi, Javad (2015) "Approximare Analytical Solution for High-Order Integro-Differential Equation by Chebyshev Waveletes," Information Sciences Letters: Vol. 4 : Iss. 1 , PP -.
Available at: https://digitalcommons.aaru.edu.jo/isl/vol4/iss1/4