A bidimensional inverse Stefan problem: identification of boundary value

Authors: Đinh Ngọc Thanh, Đặng Đình Áng, Alain Pham Ngoc Dinh,

https://doi.org/10.1016/S0377-0427(97)00021-6

Publisher, magazine: ,

Publication year: 1997

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Abstract

We propose to regularize the bidimensional inverse Stefan problem that is to determine the boundary temperature u(x,0,t) in the liquid phase in a medium of water and melting ice. This ill-posed problem is regularized by means of a convolution equation and an error estimate in L2(R2) is obtained. Numerical results are given.

Tags: Volterra integral equation, Convolution equation, Regularized solution, Error estimates