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Applied Mathematics and Mechanics (English Edition) ›› 2005, Vol. 26 ›› Issue (7): 872-881 .

• 论文 • 上一篇    下一篇

SMALL-STENCIL PADÉ SCHEMES TO SOLVENONLINEAR EVOLUTION EQUATIONS

刘儒勋, 吴玲玲   

  • 收稿日期:2003-09-03 修回日期:2005-03-11 出版日期:2005-07-18 发布日期:2005-07-18
  • 通讯作者: 刘儒勋

SMALL-STENCIL PADÉ SCHEMES TO SOLVENONLINEAR EVOLUTION EQUATIONS

LIU Ru-xun, WU Ling-ling   

  1. Department of Mathematics, University of Science and Technology of China,
    Hefei 230026, P.R.China
  • Received:2003-09-03 Revised:2005-03-11 Online:2005-07-18 Published:2005-07-18
  • Contact: LIU Ru-xun

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Abstract: A set of small-stencil new Padé schemes with the same denominator are presented to solve high-order nonlinear evolution equations.Using this scheme,the fourth-order precision can not only be kept,but also the final three-diagonal discrete systems are solved by simple Doolittle methods,or ODE systems by Runge-Kutta technique.Numerical samples show that the schemes are very satisfactory.And the advantage of the schemes is very clear compared to other finite difference schemes.

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