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  • 标题:RBF Meshless Method of Lines for the Numerical Solution of Nonlinear Sine-Gordon Equation
  • 作者:UDDIN, Marjan ; HUSSAIN, Arshad ; HAQ, Sirajul
  • 期刊名称:Walailak Journal of Science and Technology (WJST)
  • 印刷版ISSN:2228-835X
  • 出版年度:2014
  • 卷号:11
  • 期号:4
  • 页码:349-360
  • DOI:10.2004/wjst.v11i4.252
  • 语种:English
  • 出版社:Institute of Research and Development, Walailak University.
  • 摘要:In this paper, a meshless method of lines (MOL) is applied for the numerical solution of nonlinear sine-Gordon equations. This technique does not require a mesh in the problem domain, and only a set of scattered nodes provided by initial data is required for the solution of the problem using some radial basis functions (RBF). The scheme is tested for single solitons, collision of breathers and soliton doublets. The results obtained from the method are compared with the exact solutions and earlier work.doi:10.14456/WJST.2014.49
  • 关键词:Physical sciences, Engineering;MOL, RBF, sine-Gordon equation, single soliton, soliton doublets
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