Fractional Chebyshev Finite Difference Method for Solving the Fractional-Order Delay BVPs

DOI10.1142/S0219876215500334zbMath1359.65128MaRDI QIDQ2972042

Mohamed M. Khader

Publication date: 7 April 2017

Published in: International Journal of Computational Methods (Search for Journal in Brave)

zbMATH Keywords

finite difference methodGauss-Lobatto nodesCaputo fractional derivativesoperational matrix methodChebyshev approximationsfractional delay BVPs

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Finite difference and finite volume methods for ordinary differential equations (65L12) Fractional ordinary differential equations (34A08) Functional-differential equations with fractional derivatives (34K37)

Related Items (4)

New fractional derivative expression of the shifted third-kind Chebyshev polynomials: application to a type of nonlinear fractional pantograph differential equations ⋮ A numerical study on the non‐smooth solutions of the nonlinear weakly singular fractional Volterra integro‐differential equations ⋮ Hypergeometric fractional derivatives formula of shifted Chebyshev polynomials: tau algorithm for a type of fractional delay differential equations ⋮ Approximate Solution of Homogeneous and Nonhomogeneous 5αth-Order Space-Time Fractional KdV Equations

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