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

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...

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Bibliographic Details
Published inAdvances in Mathematical Physics Vol. 2014; no. 2014; pp. 436 - 443
Main Authors Bhrawy, Ali H., Alghamdi, Mohammad Ali
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Limiteds 01.01.2014
Hindawi Puplishing Corporation
Hindawi Publishing Corporation
Hindawi Limited
Subjects
Accuracy
Algorithms
Approximation
Finite element analysis
Heuristic
Methods
Numerical analysis
Ordinary differential equations
Polynomials
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Summary: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.
ISSN:1687-9120
1687-9139
DOI:10.1155/2014/595848