文献类型：期刊文献

英文题名：An adaptive algorithm for the Thomas-Fermi equation

作者：Zhu, Shengfeng[1];Zhu, Hancan[2];Wu, Qingbiao[3];Khan, Yasir[3]

机构：[1]E China Normal Univ, Dept Math, Shanghai 200241, Peoples R China;[2]Shaoxing Univ, Dept Math, Shaoxing 312000, Zhejiang, Peoples R China;[3]Zhejiang Univ, Dept Math, Hangzhou 310027, Zhejiang, Peoples R China

年份：2012

卷号：59

期号：3

起止页码：359

外文期刊名：NUMERICAL ALGORITHMS

收录：SCI-EXPANDED(收录号：WOS:000300292200003)、、Scopus(收录号：2-s2.0-84856710157)、WOS

语种：英文

外文关键词：Thomas-Fermi equation; Adaptive finite element method; Moving mesh method; Equidistribution; Free boundary value problem; Semi-infinite interval

外文摘要：A free boundary value problem is introduced to approximate the original Thomas-Fermi equation. The unknown truncated free boundary is determined iteratively. We transform the free boundary value problem to a nonlinear boundary value problem defined on [0,1]. We present an adaptive algorithm to solve the problem by means of the moving mesh finite element method. Comparison of our numerical results with those obtained by other approaches shows high accuracy of our method.