Using an Effective Numerical Method for Solving a Class of Lane-Emden Equations

Using an Effective Numerical Method for Solving a Class of Lane-Emden Equations

We use the reproducing kernel method to solve the well-known classes of Lane-Emden-type equations. These classes of equations have the form of Lane-Emden problem. Comparing the results of the reproducing kernel method with the analytical solutions by means of some typical examples, we can affirm tha...

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Main Authors: Yulan Wang, Hao Yu, Fugui Tan, Shuguang Li
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/735831
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spelling doaj-e86867835b0a4c3192accbb6f8ace05a2020-11-24T20:52:16ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/735831735831Using an Effective Numerical Method for Solving a Class of Lane-Emden EquationsYulan Wang0Hao Yu1Fugui Tan2Shuguang Li3Department of Mathematics, Inner Mongolia University of Technology, Hohhot 010051, ChinaDepartment of Mathematics, Inner Mongolia University of Technology, Hohhot 010051, ChinaJining Teachers College, Wūlánchábù, Inner Mongolia 012000, ChinaDepartment of Mathematics, Inner Mongolia University of Technology, Hohhot 010051, ChinaWe use the reproducing kernel method to solve the well-known classes of Lane-Emden-type equations. These classes of equations have the form of Lane-Emden problem. Comparing the results of the reproducing kernel method with the analytical solutions by means of some typical examples, we can affirm that the reproducing kernel method is an efficient and accurate method.http://dx.doi.org/10.1155/2014/735831
collection DOAJ
language English
format Article
sources DOAJ
author Yulan Wang
Hao Yu
Fugui Tan
Shuguang Li
spellingShingle Yulan Wang
Hao Yu
Fugui Tan
Shuguang Li
Using an Effective Numerical Method for Solving a Class of Lane-Emden Equations
Abstract and Applied Analysis
author_facet Yulan Wang
Hao Yu
Fugui Tan
Shuguang Li
author_sort Yulan Wang
title Using an Effective Numerical Method for Solving a Class of Lane-Emden Equations
title_short Using an Effective Numerical Method for Solving a Class of Lane-Emden Equations
title_full Using an Effective Numerical Method for Solving a Class of Lane-Emden Equations
title_fullStr Using an Effective Numerical Method for Solving a Class of Lane-Emden Equations
title_full_unstemmed Using an Effective Numerical Method for Solving a Class of Lane-Emden Equations
title_sort using an effective numerical method for solving a class of lane-emden equations
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description We use the reproducing kernel method to solve the well-known classes of Lane-Emden-type equations. These classes of equations have the form of Lane-Emden problem. Comparing the results of the reproducing kernel method with the analytical solutions by means of some typical examples, we can affirm that the reproducing kernel method is an efficient and accurate method.
url http://dx.doi.org/10.1155/2014/735831
work_keys_str_mv AT yulanwang usinganeffectivenumericalmethodforsolvingaclassoflaneemdenequations
AT haoyu usinganeffectivenumericalmethodforsolvingaclassoflaneemdenequations
AT fuguitan usinganeffectivenumericalmethodforsolvingaclassoflaneemdenequations
AT shuguangli usinganeffectivenumericalmethodforsolvingaclassoflaneemdenequations
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