| 用修正Bernstein多项式Galerkin法求KdV-Burgers方程数值解 |
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| 引用本文： | 孙建安,张涛锋,陈继宇,刘万海,陶娜,石玉仁.用修正Bernstein多项式Galerkin法求KdV-Burgers方程数值解[J].西北师范大学学报,2011,47(2). |
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| 作者姓名： | 孙建安 张涛锋 陈继宇 刘万海 陶娜 石玉仁 |
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| 作者单位： | 西北师范大学物理与电子工程学院; |
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| 基金项目： | 教育部科学研究重点项目(209128); 西北师范大学科技创新工程资助项目(NWNU-KJCXGC-03-53) |
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| 摘 要： | 采用修正Bernstein多项式作为基函数,使用Galerkin逼近,构造了数值求解KdV-Burgers方程的隐式格式.该格式具有很好的数值稳定性,能够有效处理长时间演化问题,数值解具有高精度.
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| 关 键 词： | KdV-Burgers方程 修正Bernstein多项式 Galerkin逼近 数值解 |
Numerical solution of KdV-Burgers' equation by modified Bernstein polynomials and Galerkin's method |
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| SUN Jian-an,ZHANG Tao-feng,CHEN Ji-yu,LIU Wan-hai,TAO Na,SHI Yu-ren.Numerical solution of KdV-Burgers' equation by modified Bernstein polynomials and Galerkin's method[J].Journal of Northwest Normal University Natural Science (Bimonthly),2011,47(2). |
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| Authors: | SUN Jian-an ZHANG Tao-feng CHEN Ji-yu LIU Wan-hai TAO Na SHI Yu-ren |
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| Institution: | SUN Jian-an,ZHANG Tao-feng,CHEN Ji-yu,LIU Wan-hai,TAO Na,SHI Yu-ren (College of Physics and Electronic Engineering,Northwest Normal University,Lanzhou 730070,Gansu,China) |
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| Abstract: | An implicit scheme of solving numerical solution of KdV-Burgers' equation is constructed by applying modified Bernstein polynomials as basis function and Galerkin approximation.The scheme is of well numerical stability,and effective for long time evolution behavior.The numerical results are in well agreement with the exact solutions. |
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| Keywords: | KdV-Burgers' equation modified Bernstein polynomials Galerkin's approximation numerical solution |
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