Numerical Solutions of Linear and Nonlinear Lane-Emden Type Equations Magnus Expansion Method

被引：0

作者：

Kome, Cahit ^{[1
]}

Atay, Mehmet Tarik ^{[2
]}

Eryilmaz, Aytekin ^{[1
]}

Kome, Sure ^{[1
]}

机构：

[1] Nevsehir Haci Bektas Veli Univ, Dept Math, TR-50300 Nevsehir, Turkey

[2] Nigde Univ, Dept Math, TR-51100 Nevsehir, Turkey

来源：

PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014) | 2015年 / 1648卷

关键词：

Magnus Expansion Method; Lane-Emden equation; Geometric integration; Initial value problems; DIFFERENTIAL-EQUATIONS;

D O I：

10.1063/1.4912575

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study on the numerical solutions of linear and nonlinear singular initial value problems of Lane-Emden type with different orders of Magnus expansion method (MEM). The proposed method is different from other numerical techniques as it is based on lie groups and lie algebras. To show the efficiency of the method, we present approximate and exact values and also L-infinity error norms with detailed tables and figures.

引用

页数：4

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