西北师范大学学报（自然科学版）2011，Vol.47Issue(2)：31-35,5.
用修正Bernstein多项式Galerkin法求KdV-Burgers方程数值解
Numerical solution of KdV-Burgers' equation by modified Bernstein polynomials and Galerkin's method
摘要
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.关键词
KdV-Burgers方程/修正Bernstein多项式/Galerkin逼近/数值解分类
数理科学引用本文复制引用
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（自然科学版）,2011,47(2):31-35,5.基金项目
教育部科学研究重点项目(209128) （209128）
西北师范大学科技创新工程资助项目(NWNU-KJCXGC-03-53) （NWNU-KJCXGC-03-53）
