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  • 标题:NUMERICAL AND ANALYTICAL SOLUTIONS FOR A NONLINEAR REACTION DIFFUSION SYSTEM
  • 本地全文:下载
  • 作者:Shaker M. Rasheed ; Rajaa Y. M. Mohammed
  • 期刊名称:Indian Journal of Computer Science and Engineering
  • 印刷版ISSN:2231-3850
  • 电子版ISSN:0976-5166
  • 出版年度:2016
  • 卷号:7
  • 期号:4
  • 页码:102-109
  • 出版社:Engg Journals Publications
  • 摘要:In this paper, we have used two powerful numerical and analytical methods for solving type ofpartial differential equations called reaction diffusion system in one dimension. In the numerical method,we use implicit method for discretizing the nonlinear reaction tern and implicit method for lineardiffusion term. The Tanh method is used to find the analytical solution for this model. The traveling wavesolutions are found for this system using the above methods and for generalized logistic growth withnonlinearity of second order. Comparison of two methods show a good agreement.
  • 关键词:Reaction diffusion system; Tanh method; Finite difference method.
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