Numerical Method for Heat Equations Involving Interfaces.

摘要

In 1993, Li and Mayo gave a finite-difference method with second order accuracy for solving the heat equations involving interfaces with constant coefficients and discontinuous sources Proc. Symp. Appl. Math. Vol. 48, W. Gautschi ed., AMS, 1993, p 311-315. In this paper, we improve the above result by presenting a finite-difference method which allows each coefficient to be taken different values in different subregions divided by the interface, that is useful in applications. Our method also has second order accuracy.