A quadrature method for numerical solutions of fractional differential equations

被引：24
|
作者：
Rehman, Mujeeb Ur [1 ]
Idrees, Amna [1 ]
Saeed, Umer [2 ]
机构：
[1] Natl Univ Sci & Technol, Sch Nat Sci, Dept Math, H-12, Islamabad, Pakistan
[2] Natl Univ Sci & Technol, NUST Inst Civil Engn, H-12, Islamabad, Pakistan
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2017年 / 307卷
关键词：
Fractional differential equations; Quadrature method; Caputo derivative; Numerical solutions; BAGLEY-TORVIK EQUATION; TRANSFORM METHOD; ADOMIAN DECOMPOSITION; ORDER; ALGORITHM;
D O I：
10.1016/j.amc.2017.02.053
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, a numerical method is developed to obtain approximate solutions for a certain class of fractional differential equations. The method reduces the underlying differential equation to system of algebraic equations. An algorithm is presented to compute the coefficient matrix for the resulting algebraic system. Several examples with numerical simulations are provided to illustrate effectiveness of the method. (C) 2017 Elsevier Inc. All rights reserved.
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页码：38 / 49
页数：12
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