A Stable Numerical Solution of an Inverse Moving Boundary Problem of Heat Conduction Using Discrete Mollification Approach


1 School of Mathematics and Computer Sciences, Damghan University, Damghan, Iran

2 Department of Mathematics, Shahid Chamran University, Ahvaz, Iran


In this paper the application of marching scheme and mollification approach to solve a one dimensional inverse moving boundary problem for the heat equation is investigated. The problem is considered with noisy data. A regularization method based on marching scheme and discrete mollification approach is developed to solve the proposed problem and the stability and convergence of  numerical solution  is  proved.  To  show  the ability and efficiency of the proposed method,  some numerical experiments are investigated. 

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