Legendre spectral method for the fractional Bratu problem

被引：32
|
作者：
Singh, Harendra [1 ]
Ghassabzadeh, Fahimeh Akhavan [2 ]
Tohidi, Emran [3 ,4 ]
Cattani, Carlo [5 ,6 ]
机构：
[1] Post Grad Coll Ghazipur, Dept Math, Ghazipur, India
[2] Univ Gonabad, Dept Math, Fac Sci, Gonabad, Iran
[3] Ton Duc Thang Univ, Informetr Res Grp, Ho Chi Minh City, Vietnam
[4] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City, Vietnam
[5] Univ Tuscia, Engn Sch DEIM, Viterbo, Italy
[6] Azerbaijan Univ, Baku, Azerbaijan
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2020年 / 43卷 / 09期
关键词：
collocation method; fractional Bratu's equation; Legendre scaling functions; EQUATIONS; CALCULUS;
D O I：
10.1002/mma.6334
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the Legendre spectral collocation method (LSCM) is applied for the solution of the fractional Bratu's equation. It shows the high accuracy and low computational cost of the LSCM compared with some other numerical methods. The fractional Bratu differential equation is transformed into a nonlinear system of algebraic equations for the unknown Legendre coefficients and solved with some spectral collocation methods. Some illustrative examples are also given to show the validity and applicability of this method, and the obtained results are comparedwith the existing studies to highlight its high efficiency and neglectable error.
引用
收藏
页码：5941 / 5952
页数：12
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