Using Legendre spectral element method with Quasi-linearization method for solving Bratu's problem

被引：0

作者：

Lotfi, Mahmoud ^{[1
]}

Alipanah, Amjad ^{[1
]}

机构：

[1] Univ Kurdistan, Dept Appl Math, Sanandaj, Iran

来源：

COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS | 2019年 / 7卷 / 04期

关键词：

Bratu's problem; Quasi-linearization; Spectral element method; Legendre polynomials; SCHEMES; EQUATIONS; FLOW;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work presented here is the solution of the one-dimensional Bratus problem. The nonlinear Bratus problem is first linearised using the quasi-linearization method and then solved by the spectral element method. We use the Legendre polynomials for interpolation. Finally we show the results with a numerical example.

引用

页码：580 / 588

页数：9

共 35 条

[1] The Lie-group shooting method for solving the Bratu equation [J].