a shifted jacobi-gauss collocation scheme for solving fractional neutral functional-differential equations
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2014
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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.
| Reference Key |
bhrawy2014advancesa
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|---|---|
| Authors | ;A. H. Bhrawy;M. A. Alghamdi |
| Journal | theater |
| Year | 2014 |
| DOI |
10.1155/2014/595848
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| URL | |
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