Spectral Technique for Solving Variable-Order Fractional Volterra Integro-Differential Equations
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Date
2018
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Wiley
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Abstract
This article, presented a shifted Legendre Gauss-Lobatto collocation (SL-GL-C) method which is introduced for solving variable-order fractional Volterra integro-differential equation (VO-FVIDEs) subject to initial or nonlocal conditions. Based on shifted Legendre Gauss-Lobatto (SL-GL) quadrature, we treat with integral term in the aforementioned problems. Via the current approach, we convert such problem into a system of algebraic equations. After that we obtain the spectral solution directly for the proposed problem. The high accuracy of the method was proved by several illustrative examples.
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Keywords
Fractional Calculus, Riemann-Liouvilie Fractional of Variable Order, Integro-Differential Equation, pectral Collocation Method, Shifted Legendre-Gauss-Lobatto Quadrature
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Citation
Doha, E. H. (2018). "Spectral technique for solving variable-order fractional Volterra integro-differential equations" Vol.34, No.5, pp. 1659-1677.
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Source
Numerical Methods for Partial Differential Equations
Volume
34
Issue
5
Start Page
1659
End Page
1677