An efficient technique for solving systems of integral equations

Subject Areas : Numerical Analysis

حمیده  ابراهیمی ¹ (Department of Applied Mathematics, Basic Science Faculty, Islamic Azad University, Rasht Branch, Rasht, Iran)

Received: 2018-01-18 Accepted : 2018-04-09 Published : 2019-06-01

Keywords: Operational matrix, Mother wavelet, Multiresolution analysis, The second kind Chebyshev wavelet method, Systems of integral equations,

Abstract :

In this paper, the wavelet method based on the Chebyshev polynomials of the second kind is introduced and used to solve systems of integral equations. Operational matrices of integration, product, and derivative are obtained for the second kind Chebyshev wavelets which will be used to convert the system of integral equations into a system of algebraic equations. Also, the error is analyzed and at the end, some examples are presented to demonstrate the efficiency and the validity of the proposed method.

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