数学
紧致有限差分
边值问题
趋同(经济学)
边界(拓扑)
有限差分
有限差分法
Neumann边界条件
规范(哲学)
Robin边界条件
方案(数学)
应用数学
数学分析
政治学
法学
经济
经济增长
作者
James Male,Phumlani Dlamini,Simphiwe Simelane
出处
期刊:Applied mathematics in science and engineering
[Informa]
日期:2023-05-29
卷期号:31 (1)
被引量:2
标识
DOI:10.1080/27690911.2023.2214303
摘要
In this study, a high-order compact finite difference method is used to solve Lane–Emden equations with various boundary conditions. The norm is to use a first-order finite difference scheme to approximate Neumann and Robin boundary conditions, but that compromises the accuracy of the entire scheme. As a result, new higher-order finite difference schemes for approximating Robin boundary conditions are developed in this work. We test the applicability and performance of the method using different examples of Lane–Emden equations. Convergence analysis is provided, and it is consistent with the numerical results. The results are compared with the exact solutions and published results from other methods. The method produces highly accurate results, which are displayed in tables and graphs.
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