A Mollified Gradient Approach for Solving an Inverse Moving Boundary Problem

In this paper a numerical procedure based on mollificationapproach and conjugate gradient method is established to solve a onedimensional inverse moving boundary value problem. the problem isconsidered with noisy data. a regularized problem using mollificationapproach is considered and the conjugate gradient method is used tosolve the proposed problem. some numerical examples are considered toshow the ability of this method. these examples show that the accurateand stable results can be obtained efficiently for these kind of problems.