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A Spectral Technique for Solving Two-Dimensional Fractional Integral Equations With Weakly Singular Kernel

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2018

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Hacettepe Univ, Fac Sci

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Abstract

This paper adapts a new numerical technique for solving twodimensional fractional integral equations with weakly singular. Using the spectral collocation method, the fractional operators of Legendre and Chebyshev polynomials, and Gauss-quadrature formula, we achieve a reduction of given problems into those of a system of algebraic equations. We apply the reported numerical method to solve several numerical examples in order to test the accuracy and validity. Thus, the novel algorithm is more responsible for solving two-dimensional fractional integral equations with weakly singular.

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Two-Dimensional Fractional Integral Equations With Weakly Singular, Spectral Collocation Method, Gauss Quadrature, Shifted Legendre Polynomials, Shifted Chebyshev Polynomial

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Bhrawy, Ali H...et al. (2018). "A spectral technique for solving two-dimensional fractional integral equations with weakly singular kernel", Hacettepe Journal of Mathematics and Statistics, Vol. 47, No. 3, pp, 553-566.

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Hacettepe Journal of Mathematics and Statistics

Volume

47

Issue

3

Start Page

553

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566