On a novel modification of the Legendre collocation method for solving fractional diffusion equation

被引：0
|
作者：
Jaleb, Hosein [1 ]
Adibi, Hojatollah [2 ]
机构：
[1] Islamic Azad Univ, Cent Tehran Branch, Dept Math, Tehran, Iran
[2] Amirkabir Univ Technol, Dept Appl Math, Fac Math & Comp Sci, Tehran, Iran
来源：
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS | 2019年 / 7卷 / 03期
关键词：
Fractional diffusion equation; Caputo derivative; Fractional Riccati differential equation; Finite difference; Collocation; Legendre polynomials; FINITE-DIFFERENCE APPROXIMATIONS; NUMERICAL-SOLUTION; SPACE;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a modification of the Legendre collocation method is used for solving the space fractional differential equations. The fractional derivative is considered in the Caputo sense along with the finite difference and Legendre collocation schemes. The numerical results obtained by this method have been compared with other methods. The results show the capability and efficiency of the proposed method.
引用
收藏
页码：480 / 496
页数：17
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