Shifted fractional Jacobi spectral algorithm for solving distributed order time-fractional reaction-diffusion equations

被引：28

作者：

Abdelkawy, M. A. ^{[1
,2
]}

Lopes, Antonio M. ^{[3
]}

Zaky, M. A. ^{[4
]}

机构：

[1] Imam Mohammad Ibn Saud Islamic Univ IMSIU, Coll Sci, Dept Math & Stat, Riyadh, Saudi Arabia

[2] Beni Suef Univ, Fac Sci, Dept Math, Bani Suwayf, Egypt

[3] Univ Porto, Fac Engn, UISPA LAETA INEGI, Porto, Portugal

[4] Natl Res Ctr, Dept Appl Math, Giza 12622, Egypt

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 2019年 / 38卷 / 02期

关键词：

Spectral collocation method; Caputo fractional derivative; Distributed order fractional reaction-diffusion equation; NUMERICAL-SOLUTION; WAVE EQUATION; APPROXIMATION; DYNAMICS;

D O I：

10.1007/s40314-019-0845-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper proposes a new method for solving distributed order time-fractional reaction-diffusion equations (DO-TFRDEs). Extended versions of the shifted Jacobi-Gauss-Lobatto and shifted fractional order Jacobi-Gauss-Radau collocation methods are developed for reducing the DO-TFRDEs to systems of algebraic equations and computing their approximate solutions. The applicability and accuracy of the method is illustrated through numerical examples.

引用

页数：21

共 46 条

[1]

Abdelkawy MA, 2015, ROM REP PHYS, V67, P773

[2] Solving a system of fractional partial differential equations arising in the model of HIV infection of CD4+ cells and attractor one-dimensional Keller-Segel equations [J].