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  • 标题:Sinc Collocation Linked with Finite Differences for Korteweg-de Vries Fractional Equation
  • 本地全文:下载
  • 作者:Kamel Al-Khaled
  • 期刊名称:International Journal of Electrical and Computer Engineering
  • 电子版ISSN:2088-8708
  • 出版年度:2020
  • 卷号:10
  • 期号:1
  • 页码:512-520
  • DOI:10.11591/ijece.v10i1.pp512-520
  • 出版社:Institute of Advanced Engineering and Science (IAES)
  • 摘要:A novel numerical method is proposed for Korteweg-de Vries Fractional Equation. The fractional derivatives are described based on the Caputo sense. We construct the solution using different approach, that is based on using collocation techniques. The method combining a finite difference approach in the time-fractional direction, and the Sinc-Collocation in the space direction, where the derivatives are replaced by the necessary matrices, and a system of algebraic equations is obtained to approximate solution of the problem.  Some numerical results are shown to demonstrate the efficiency of the newly proposed method. The numerical results are shown to demonstrate the efficiency of the newly proposed method. Easy and economical implementation is the strength of this method.
  • 关键词:Sinc-Collocation;Korteweg-de Vries Equation;Numerical solutions;Fractional Derivative.
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