Burgers方程初始条件反问题的最佳摄动量法

The Best Perturbation Method in the Initial Value Inverse Problem of Burgers Equation

利用最佳摄动量法研究了非线性Burgers方程初始条件反问题,得出了一维非线性Burgers方程初始条件反问题的数值解法,并对具体的一维齐次非线性Burgers方程初始条件反问题进行了程序实现和数值计算。结果表明,利用最佳摄动量法能有效的求解这类问题。

In this paper, the method of best perturbation method is used to research the initial value inverse problem of nonlinear Burgers equation, and the numerical method is obtained to the one dimensional nonlinear problem, meanwhile, procedure and numerical calculation to such one dimensional homogeneous problem are realized. It turns out that the best perturbation method is one of the efficient methods to solve this kinds of problem.