基于Bernstein多项式的配点法解高阶常微分方程  

Collocation method and least squares method based on Bernstein polynomials for solution of high order ordinary differential equations

作　　者：朱亚男[1] 王彩华[1] 

机构地区：[1]天津师范大学数学科学学院,天津300387

出　　处：《天津师范大学学报（自然科学版）》2015年第2期7-9,共3页Journal of Tianjin Normal University：Natural Science Edition

基　　金：国家自然科学基金资助项目(11071123)

摘　　要：研究基于Bernstein多项式的配点法与最小二乘配点法数值求解n阶常微分方程边值问题.数值算例结果表明,该方法易于实施、精度好,且计算量小、收敛速度较快.The collocation method and least squares method based on Bernstein polynomials for solving boundary value prob- lem of high order ordinary differential equations are investigated. Numerical examples show that the methods are easy to be used and implemented, and have good accuracy, small amount of computations and high rate of convergence.

关 键 词：BERNSTEIN多项式 配点法 最小二乘配点法 高阶常微分方程 

分 类 号：O241.82[理学—计算数学]