摘要
变分迭代法已被应用于求解一类含有未知参数线性抛物型方程的反问题中,它通过Lagrange乘子求得未知参量的精确值.笔者将变分迭代法做出改进再应用于抛物型方程反问题中,且可以快速得到收敛于反问题精确解的收敛序列,从而得到精确解.为了说明该方法的有效性,笔者给出2个实例.
This paper will discuss the modified variational iteration method for solving the inverse parabolic problem, through the simple calculation we have the solution of the equation, comparing with the Adomian＇s decomposition method, it reveals that the modified iteration method is better than the later one.
出处
《吉林建筑工程学院学报》
CAS
2009年第4期97-100,共4页
Journal of Jilin Architectural and Civil Engineering
关键词
改进的变分迭代法
抛物型方程反问题
LAGRANGE乘子
the modified variational iteration method ： convergence solution inverse parabolic problem
Lagrange multiplicator
