NUMERICAL SOLUTION OF INTEGRO-DIFFERENTIAL EQUATION BY USING CHEBYSHEV WAVELET OPERATIONAL MATRIX OF INTEGRATION
Publish Year: 1391
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJMAC-2-2_005
تاریخ نمایه سازی: 28 دی 1401
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.
Keywords:
Integro-differential equation , Chebyshev wavelet of the first kind , Operational matrix of integration , Legendre wavelet , CAS wavelet
Authors
M. A. Fariborzi Araghi
Islamic Azad University, Central Tehran Branch, Iran Iran, Islamic Republic of Department of Mathematics
S. Daliri
Iran, Islamic Republic of
M. Bahmanpour
Department of Mathematics, Sama Technical and Vocational Training College, Islamic, Azad University, Khorasgan, Isfahan Branch, Iran. Iran, Islamic Republic of