| SMALL-STENCIL PADE SCHEMES TO SOLVE NONLINEAR EVOLUTION EQUATIONS |
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| 作者姓名： | 刘儒勋 吴玲玲 |
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| 作者单位： | [1]Department of Mathematics, University of Science and Technology of China, Hefei 230026, P. R. China |
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| 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 |
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| 摘 要： |
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| 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 |
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| Liu Ru-xun,Wu Ling-ling.SMALL-STENCIL PADE SCHEMES TO SOLVE NONLINEAR EVOLUTION EQUATIONS[J].Applied Mathematics and Mechanics(English Edition),2005,26(7):872-881. |
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| Authors: | Liu Ru-xun Wu Ling-ling |
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| Institution: | Department of Mathematics, University of Science and Technology of China, Hefei 230026, P. R. China |
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| 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. |
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| Keywords: | evolution equation compact scheme Pade scheme node stencil soliton |
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