A Numerical Method for Heat Equations Involving Interfaces
NORTH CAROLINA STATE UNIV AT RALEIGH DEPT OF MATHEMATICS
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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.
- Theoretical Mathematics