... Publishing Limited Licensed re-use rights only Inverse problem Nonlinear optimization Tikhonov regularization Free boundary Two-dimensional heat equation Free boundary problems for parabolic partial differential equations have significant applications in various fields of engineering...

...Mousa Huntul; Mohammad Tamsir Purpose The purpose of this paper is to provide an insight and to solve numerically the identification of timewise terms and free boundaries coefficient appearing in the heat equation from over-determination conditions. Design/methodology/approach The formulated...