A Shifted Jacobi-Gauss Collocation Scheme for Solving Fractional Neutral Functional-Differential Equations | Zendy

A. H. Bhrawy | Zendy; Mohammed Alghamdi | Zendy

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A Shifted Jacobi-Gauss Collocation Scheme for Solving Fractional Neutral Functional-Differential Equations

Author(s) -

A. H. Bhrawy,

Mohammed Alghamdi

Publication year - 2014

Publication title -

advances in mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.283

H-Index - 23

eISSN - 1687-9139

pISSN - 1687-9120

DOI - 10.1155/2014/595848

Subject(s) - orthogonal collocation , gauss , collocation method , collocation (remote sensing) , mathematics , jacobi polynomials , gaussian quadrature , scheme (mathematics) , jacobi method , quadrature (astronomy) , differential equation , mathematical analysis , orthogonal polynomials , nyström method , computer science , ordinary differential equation , integral equation , physics , optics , quantum mechanics , machine learning

The shifted Jacobi-Gauss collocation (SJGC) scheme is proposed and implemented to solve the fractional neutral functional-differential equations with proportional delays. The technique we have proposed is based upon shifted Jacobi polynomials with the Gauss quadrature integration technique. The main advantage of the shifted Jacobi-Gauss scheme is to reduce solving the generalized fractional neutral functional-differential equations to a system of algebraic equations in the unknown expansion. Reasonable numerical results are achieved by choosing few shifted Jacobi-Gauss collocation nodes. Numerical results demonstrate the accuracy, and versatility of the proposed algorithm

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