| 用余弦微分求积法数值求解KdV—Burgers方程 |
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| 引用本文： | 陈继宇,张涛锋,孙建安,石玉仁,马明义. 用余弦微分求积法数值求解KdV—Burgers方程[J]. 数值计算与计算机应用, 2011, 32(2): 125-134 |
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| 作者姓名： | 陈继宇 张涛锋 孙建安 石玉仁 马明义 |
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| 作者单位： | 1. 平凉一中,甘肃,平凉,744000
2. 西北师范大学物理与电子工程学院,兰州,730070 |
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| 基金项目： | 教育部科学研究重点项目，西北师范大学科技创新工程重点项目 |
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| 摘 要： | 采用余弦微分求积法（CDQM）对（1＋1）维非线性KdV—Burgers方程进行了数值求解．结果表明，所得数值解与方程的精确解相比具有明显的高精度且稳定性高，相对于其他常用方法，且公式简单，使用方便；计算量小，时间复杂性好．
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| 关 键 词： | KdV—Burgers方程 余弦微分求积法（CDQM） 数值解 |
NUMERICAL SOLUTIONS OF KDV-BURGERS EQUATION BY COSINE EXPANSION BASED DIFFERENTIAL QUADRATURE METHOD |
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| Chen Jiyu,Zhang Taofeng,Sun Jianan,Shi Yuren,Ma Mingyi. NUMERICAL SOLUTIONS OF KDV-BURGERS EQUATION BY COSINE EXPANSION BASED DIFFERENTIAL QUADRATURE METHOD[J]. Journal on Numerical Methods and Computer Applications, 2011, 32(2): 125-134 |
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| Authors: | Chen Jiyu Zhang Taofeng Sun Jianan Shi Yuren Ma Mingyi |
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| Affiliation: | Chen Jiyu (First Middle School of Pingliang,Pingliang 744000,Gansu,China) Zhang Taofeng Sun Jianan Shi Yuren (College of Physics and Electronic Engineering,Northwest Normal University,Lanzhou 730070,China) Ma Mingyi (First Middle School of Pingliang,China) |
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| Abstract: | The cosine expansion based differential quadrature method(CDQM)has been used to obtain numerical solutions to the(1+1)-dimensional nonlinear KdV-Burgers equation.The numerical solutions are compared with the exact solutions,The results show that the numerical solutions are in good agreement with the exact solutions.Compared with some regulate methods,the computation efforts are relatively smaller and the time of computation is shorter,it is also seen that the formulas of the method are very simple and easy ... |
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| Keywords: | KdV-Burgers equation Cosine Expansion Based Differential Quadrature Method(CDQM) Numerical solution |
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