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  • 标题:Solving certain classes of Lane-Emden type equations using the differential transformation method
  • 本地全文:下载
  • 作者:Yasir Khan ; Zdeněk Svoboda ; Zdeněk Šmarda
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2012
  • 卷号:2012
  • 期号:1
  • 页码:174
  • DOI:10.1186/1687-1847-2012-174
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, the differential transformation method (DTM) is applied to solve singular initial problems represented by certain classes of Lane-Emden type equations. Some new differential transformation formulas for certain exponential and logarithmic nonlinearities are derived. The approximate and exact solutions of these equations are calculated in the form of series with easily computable terms. The results obtained with the proposed methods are in good agreement with those obtained by other methods. The advantages of this technique are shown as well.
  • 关键词:Series Solution ; Symbolic Calculation ; Homotopy Perturbation Method ; Variation Iteration Method ; Adomian Decomposition Method
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