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

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FARIBORZI ARAGHI M.A.; DALIRI S.; BAHMANIPOUR M.

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Journal: INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION Year:2012 | Volume:2 | Issue:2 Page(s): 126-136

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Title

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

Author(s)

FARIBORZI ARAGHI M.A. | DALIRI S. | BAHMANIPOUR M. | Issue Writer Certificate

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.

Cites

References

NUMERICAL SOLUTION OF FREDHOLM INTEGRAL EQUATION OF THE FIRST KIND USING LEGENDRE, CHEBYSHEV AND CAS WAVELETS

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APA: Copy

FARIBORZI ARAGHI, M.A., DALIRI, S., & BAHMANIPOUR, M.. (2012). NUMERICAL SOLUTION OF INTEGRO-DIFFERENTIAL EQUATION BY USING CHEBYSHEV WAVELET OPERATIONAL MATRIX OF INTEGRATION. INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION, 2(2), 126-136. SID. https://sid.ir/paper/328256/en

Vancouver: Copy

FARIBORZI ARAGHI M.A., DALIRI S., BAHMANIPOUR M.. NUMERICAL SOLUTION OF INTEGRO-DIFFERENTIAL EQUATION BY USING CHEBYSHEV WAVELET OPERATIONAL MATRIX OF INTEGRATION. INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION[Internet]. 2012;2(2):126-136. Available from: https://sid.ir/paper/328256/en

IEEE: Copy

M.A. FARIBORZI ARAGHI, S. DALIRI, and M. BAHMANIPOUR, “NUMERICAL SOLUTION OF INTEGRO-DIFFERENTIAL EQUATION BY USING CHEBYSHEV WAVELET OPERATIONAL MATRIX OF INTEGRATION,” INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION, vol. 2, no. 2, pp. 126–136, 2012, [Online]. Available: https://sid.ir/paper/328256/en

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