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In this paper, two different finite differences schemes are presented for numerical solution of two-dimensional moving boundary problem. The methods are illustrated by solving sample problem in two-dimensional solidification of the square prism. The finite difference schemes developed for this purpose are based on the method of lines using interpolation… (More)
We introduce formulation based on three time-level finite-difference method for one-dimensional Stefan-like problems. Matrix method stability analysis of equations is also investigated. The computational results obtained by the present method are in excellent agreement with the results reported previously by the other authors.
— We consider the oxygen diffusion equation. Oxygen diffusion in a sike cell with simultaneous absorption is an important probl em. Oxygen diffusion has a wide range of medical applications. Numerical solutions of its partial differential equation are obtained by extrapolation method with the vector of values V approximating to C (diffusion) at the mesh… (More)
This article deals with finite-difference schemes of two-dimensional heat transfer equations with moving boundary. The method is suggested by solving sample problem in two-dimensional solidification of square prism. The finite-difference scheme improved for this goal is based on the Douglas equation. The results are devised for a two-dimensional model and… (More)