NUMERICAL SOLUTION OF WEAKLY SINGULAR INTEGRAL EQUATIONS BY USING TAYLOR SERIES AND LEGENDRE POLYNOMIALS

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ARZHANG A.

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ISSN: 2588-4824

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Journal: MATHEMATICAL SCIENCES Year:2010 | Volume:4 | Issue:2 Page(s): 187-203

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Title

NUMERICAL SOLUTION OF WEAKLY SINGULAR INTEGRAL EQUATIONS BY USING TAYLOR SERIES AND LEGENDRE POLYNOMIALS

Author(s)

ARZHANG A. | Issue Writer Certificate

Keywords

CAUCHY KERNEL

WEAKLY SINGULAR

TAYLOR-SERIES

GALERKIN METHOD

LEG- ENDRE FUNCTIONS

Abstract

In this paper, we use Taylor series and Legendre functions of the second kind to remove singularity of the WEAKLY SINGULAR Fredholm integral equations of the second kind with the kernel k (x, y) =1/(x-y)a 0<a<1. Legendre polynomials are used as a basis and some integrals that appear in this method are computed with Cauchy principal value sense without using any numerical quadrature. Three examples are given to show the efficiency of the method.

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APA: Copy

ARZHANG, A.. (2010). NUMERICAL SOLUTION OF WEAKLY SINGULAR INTEGRAL EQUATIONS BY USING TAYLOR SERIES AND LEGENDRE POLYNOMIALS. MATHEMATICAL SCIENCES, 4(2), 187-203. SID. https://sid.ir/paper/322506/en

Vancouver: Copy

ARZHANG A.. NUMERICAL SOLUTION OF WEAKLY SINGULAR INTEGRAL EQUATIONS BY USING TAYLOR SERIES AND LEGENDRE POLYNOMIALS. MATHEMATICAL SCIENCES[Internet]. 2010;4(2):187-203. Available from: https://sid.ir/paper/322506/en

IEEE: Copy

A. ARZHANG, “NUMERICAL SOLUTION OF WEAKLY SINGULAR INTEGRAL EQUATIONS BY USING TAYLOR SERIES AND LEGENDRE POLYNOMIALS,” MATHEMATICAL SCIENCES, vol. 4, no. 2, pp. 187–203, 2010, [Online]. Available: https://sid.ir/paper/322506/en

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