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

• Articles • Previous Articles     Next Articles

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

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.

2010 MSC Number: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals