An efficient numerical algorithm for solving system of Lane-Emden type equations arising in engineering

被引：18
作者：
Ozturk, Yalcin [1 ]
机构：
[1] Mugla Sitki Kocman Univ, Ula Ali Kocman Vocat High Sch, Mugla, Turkey
来源：
NONLINEAR ENGINEERING - MODELING AND APPLICATION | 2019年 / 8卷 / 01期
关键词：
Lane-Emden system; engineering problem; Chebyshev polynomials; operational matrix method;
D O I：
10.1515/nleng-2018-0062
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
The purpose of this paper is to propose an efficient numerical method for solving system of Lane- Emden type equations using Chebyshev operational matrix method. This method transforms the system of Lane-Emden type equation into the system of algebraic equations with unknown Chebyshev coefficients. Some illustrative examples are given to demonstrate the efficiency and validity of the proposed algorithm.
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页码：429 / 437
页数：9
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