THE TRANSFORMATION METHOD FOR PARABOLIC EQUATIONS AND VARIATIONAL INEQUALITIES IN NON-CYLINDRICAL DOMAINS

A. Kufner (Czech Republic), K. Kuliev (Czech Republic) and G. Kulieva (Czech Republic)

Received July 10, 2007

Abstract

In this paper, parabolic initial-boundary value problems and variational inequalities in non-cylindrical domains are considered. A method is proposed which allows to transfer the problem from a non-cylindrical domain to a cylindrical one.

Keywords and phrases: parabolic PDEs, numerical methods, time-discretization, method of lines, transformation method, variational inequality.