求解变系数热传导方程反问题:初始条件

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

给出了求解一维变系数热传导方程反问题的一种拟可逆正则化方法,并分析了格式的稳定性.同时,讨论了该方法正则化参数对数值结果的影响.最后,数值结果表明了算法的有效性.

In this paper, a quasi-reversibility regularization method is given for the one-dimensional variablecoefficient inverse heat conduction equation. The stability of the scheme is analyzed and the effect of the regulariza-tion parameter on numerical results is discussed. Finally, the efficiency of the method is verified.