Burgers-Huxley方程的同伦分析解  

The Homotopy Analysis Solution of Burgers-Huxley Equation

作　　者：彭红晓 谷根代[1] 

机构地区：[1]华北电力大学数理系,河北保定071003

出　　处：《数学的实践与认识》2016年第7期235-241,共7页Mathematics in Practice and Theory

基　　金：资助项目:开口腔体高波数情况下电磁散射的高阶快速算法研究(1140011526)

摘　　要：针对Burgers-Huxley方程定解问题,构造了一种零阶同伦方程,采用同伦方法得到Burgers-Huxley方程定解问题的近似解析解.最后,进行了实例验证和结果分析.Based on the definite solution of Burgers-Huxley equation, in order to obtain its approximate analytical solution, this article construct the zero order homotopy equation in another way. Then adopt the homotopy method. Finally, an example verification and the results analysis are given to this solving method to the problem.

关 键 词：Burgers—Huxley方程 零阶同伦方程 同伦方法 近似解析解 

分 类 号：O175[理学—数学]