NUMERICAL SOLUTION OF INTEGRO-DIFFERENTIAL EQUATION BY USING CHEBYSHEV WAVELET OPERATIONAL MATRIX OF INTEGRATION

Subject Areas : International Journal of Mathematical Modelling & Computations

M. A. Fariborzi Araghi ¹ ( Islamic Azad University, Central Tehran Branch, Iran Iran, Islamic Republic of Department of Mathematics )
S. Daliri ² ( Iran, Islamic Republic of )
M. Bahmanpour ³ ( Department of Mathematics, Sama Technical and Vocational Training College, Islamic, Azad University, Khorasgan, Isfahan Branch, Iran. Iran, Islamic Republic of )

Received: 2016-04-14 Accepted : 2016-04-14 Published : 2016-03-20

Keywords: Integro-differential equation, Chebyshev wavelet of the first kind, Operational matrix of integration, Legendre wavelet, CAS wavelet,

Abstract :

In this paper, we propose a method to approximate the solution of a linear Fredholm integro-differential equation by using the Chebyshev wavelet of the first kind as basis. For this purpose, we introduce the first Chebyshev operational matrix of integration. Chebyshev wavelet approximating method is then utilized to reduce the integro-differential equation to a system of algebraic equations. Illustrative examples are included to demonstrate the advantages and applicability of the technique.