一类扩散方程初始值反演的FR方法

Solution of an Backward Inverse Problem for a Class of Diffusion Equation by FR Method

利用FR方法研究了一类扩散方程的初值反演问题,拓广了FR方法在方程系数反演问题的研究。FR方法是一种不受空间维数、边界条件限制的反演方法。推导了FR方法在初值反演中算法的基本公式,且给出了一维扩散方程初值反问题的数值算例。

A kind of diffusion equation＇s inverse problem of backward has been studied by Frechet-Regular Method, expanding the application of the F-R in the parameter identification of equation. FR is a method which is not limited by the dimensions and the boundary conditions. All formulas and steps to calculate FR method are detailed an examples to test the FR method.