SMALL-STENCIL PAD(E) SCHEMES TO SOLVE NONLINEAR EVOLUTION EQUATIONS

SMALL-STENCIL PAD(E) SCHEMES TO SOLVE NONLINEAR EVOLUTION EQUATIONS

LIU Ru-xun;WU Ling-ling

【期刊名称】《应用数学和力学（英文版）》

【年(卷),期】2005(026)007

【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.

【总页数】10页(872-881)

【关键词】evolution equation;compact scheme;Pade scheme;node stencil;soliton

【作者】LIU Ru-xun;WU Ling-ling

【作者单位】Department of Mathematics, University of Science and Technology of China, Hefei 230026, P. R. China;Department of Mathematics, University of Science and Technology of China, Hefei 230026, P. R. China

【正文语种】中文