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

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  • A. H. Bhrawy
  • M. A. Alghamdi

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.

Suggested Citation

  • A. H. Bhrawy & M. A. Alghamdi, 2014. "A Shifted Jacobi-Gauss Collocation Scheme for Solving Fractional Neutral Functional-Differential Equations," Advances in Mathematical Physics, Hindawi, vol. 2014, pages 1-8, April.
    • Handle: RePEc:hin:jnlamp:595848
    DOI: 10.1155/2014/595848
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