SMALL-STENCIL PAD SCHEMES TO SOLVE NONLINEAR EVOLUTION EQUATIONS  

作　　者：刘儒勋 吴玲玲 

机构地区：[1]Department of Mathematics, University of Science and Technology of China, Hefei 230026, P.R.China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2005年第7期872-881,共10页应用数学和力学（英文版）

基　　金：ProjectsupportedbytheNationalNaturalScienceFoundationofChina(Nos.10371118and90411009);theScienceFoundationofStateKeyLaboratoryofFireScience(SKLFS)andtheScienceFoundationofBeijingComputationalPhysicsLaboratory

摘　　要：A set of small-stencil new Pade 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.A set of small-stencil new Pade 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.

关 键 词：evolution equation compact scheme Pade scheme node stencil SOLITON 

分 类 号：O175.29[理学—数学]