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

A. H. Bhrawy and M. A. Alghamdi

Advances in Mathematical Physics, 2014, vol. 2014, issue 1

Abstract: 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.

Date: 2014
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https://doi.org/10.1155/2014/595848

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2014:y:2014:i:1:n:595848

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