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

被引：1
|
作者：
Bhrawy, A. H. [1 ,2 ]
Alghamdi, M. A. [1 ]
机构：
[1] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia
[2] Beni Suef Univ, Fac Sci, Dept Math, Bani Suwayf 62511, Egypt
来源：
ADVANCES IN MATHEMATICAL PHYSICS | 2014年 / 2014卷
关键词：
NUMERICAL-SOLUTION; OPERATIONAL MATRIX;
D O I：
10.1155/2014/595848
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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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页数：8
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