用修正Bernstein多项式Galerkin法求Burgers方程数值解  

Numerical Solution of the Burgers' Equation by the Modified Bernstein Polynomials and Galerkin's Method

作　　者：张涛锋[1] 孙建安[1] 陈继宇[1] 陶娜[1] 石玉仁[1] 

机构地区：[1]西北师范大学物理与电子工程学院,甘肃兰州730070

出　　处：《甘肃科学学报》2010年第4期28-32,共5页Journal of Gansu Sciences

基　　金：西北师范大学科技创新工程重点项目(nwnu-kjcxgc-03-53)

摘　　要：采用修正Bernstein多项式Galerkin法求解了(1+1)维非线性Burgers方程,将得到的数值解与精确解及相关文献进行了比较.结果表明:该算法采用基函数少、精确度高且适应性强.The numerical solution for （1-1-1）-dimensional nonlinear Burgers＇ equation is obtained by applying modified Bernstein polynomials and Galerkin approximation. The numerical solution is compared with the exact solution of the relevant literature. The results show that the present algorithm applies only a few basic functions but the numerical solution is highly accurate,and the algorithm is adaptable.

关 键 词：BURGERS方程 修正Bernstein多项式 GALERKIN法 数值解 

分 类 号：O175.29[理学—数学]