求解变系数热传导方程反问题:边界条件

Solving the Variable Coefficient Heat Conduction Equation Inverse Problem: Boundary Condition

主要考虑了一维变系数热传导方程反问题的有限差分方法.首先通过测量手段测得区域内部某点x1(0<x1<1)处的温度,再利用右边界条件和初始条件得到x1<x<1上的数值解,最后求解左边界x=0处的温度值.

In this paper, a finite difference method is given for the one-dimensional variable coefficient inverseheat conduction equation. By mean of measurement, we can find the temperature at a point x1（0 x11） inside the body. Further, using the right boundary condition and initial condition, the numerical solution is obtained at x1 x 1. Finally, the temperature at left boundary x = 0 is solved.