Convolution equation Error estimate Regularized solution Volterra integral equation
Issue Date:
1996
Publisher:
Journal of Computational and Applied Mathematics
Citation:
Volume 66, Issue 2-Jan, Page 75-84
Abstract:
We propose to determine a function v(t) such that u(0, t) = v(t), u(x, t) being the temperature in the liquid phase in a medium of water and melting ice. This ill-posed problem is called an inverse Stefan problem. We obtain a regularized solution of this problem with an error estimate in L2(R) by means of a convolution equation. Numerical results are given.
