| SMALL-STENCIL PADE SCHEMES TO SOLVE NONLINEAR EVOLUTION EQUATIONS |
| |
| 引用本文： | 刘儒勋 吴玲玲. SMALL-STENCIL PADE SCHEMES TO SOLVE NONLINEAR EVOLUTION EQUATIONS[J]. 应用数学和力学(英文版), 2005, 26(7): 872-881. DOI: 10.1007/BF02464236 |
| |
| 作者姓名： | 刘儒勋 吴玲玲 |
| |
| 作者单位： | [1]Department of Mathematics, University of Science and Technology of China, Hefei 230026, P. R. China |
| |
| 基金项目： | Project supported by the National Natural Science Foundation of China （Nos. 10371118 and 90411009）; the Science Foundation of State Key Laboratory of Fire Science （SKLFS） and the Science Foundation of Beijing Computational Physics Laboratory |
| |
| 摘 要： |
|
| 关 键 词： | 发展方程 Pade设计 积分方程 模板 孤立波 |
| 文章编号： | 0253-4827（2005）07-0872-10 |
| 收稿时间： | 2003-09-03 |
| 修稿时间： | 2005-03-11 |
Small-stencil Padé schemes to solve nonlinear evolution equations |
| |
| Liu Ru-xun,Wu Ling-ling. Small-stencil Padé schemes to solve nonlinear evolution equations[J]. Applied Mathematics and Mechanics(English Edition), 2005, 26(7): 872-881. DOI: 10.1007/BF02464236 |
| |
| Authors: | Liu Ru-xun Wu Ling-ling |
| |
| Affiliation: | Department of Mathematics, University of Science and Technology of China, Hefei 230026, P. R. China |
| |
| Abstract: | 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. |
| |
| Keywords: | evolution equation compact scheme Pade scheme node stencil soliton |
| 本文献已被 维普 万方数据 SpringerLink 等数据库收录！ |
| 点击此处可从《应用数学和力学(英文版)》浏览原始摘要信息 |
|
点击此处可从《应用数学和力学(英文版)》下载全文 |
