A Spectral Technique for Solving Two-Dimensional Fractional Integral Equations With Weakly Singular Kernel
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Date
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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Citation
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
End Page
566