摘要
研究了结合变量替换应用同伦分析方法,去求解二阶非线性微分方程的两点边值问题,并得到了逼近解析解的函数级数形式.给出了应用同伦分析方法求解二阶非线性问题的三个实例,显示了同伦分析方法可以比较有效地求解非线性问题.
This paper studies the application of homotopy analysis method combined with variable substitution to solve two points boundary value problems of second order nonlinear differential equation,and we obtain nalytical solutions of approximation in function term series.We give three examples on second order nonlinear differential equation with solving applying homotopy analysis method,showing the effectiveness of homotopy analysis method in solving nonlinear problems.
作者
罗炯兴
LUO Jiong-xing(School of Preparatory Education for Minorities,Xichang University, Xichang 615013, China)
出处
《数学的实践与认识》
北大核心
2019年第9期253-263,共11页
Mathematics in Practice and Theory
基金
西昌学院校级科研项目(LGLS201808)
关键词
二阶非线性微分方程
两点边值问题
同伦分析方法
逼近的解析解
second order nonlinear differential equation
two points boundary value problems
homotopy analysis mmethod
analytical solutions of approximation
