Electronic Journal of Differential Equations,
Conference 03 (1999), pp. 100-108.

Title:  A numerical method for solving heat equations involving interfaces

Authors: Zhilin Li (North Carolina State Univ., Raleigh, NC, USA)
      Yun-Qiu Shen (Western Washington Univ.,Bellingham, WA, USA)
 
Abstract: 
 In 1993, Li and Mayo [3] gave a finite-difference method with second order 
 accuracy for solving the heat equations involving interfaces with constant 
 coefficients and discontinuous sources. In this paper, we expand their 
 result by presenting a finite-difference method which allows each 
 coefficient to take different values in different sub-regions of the 
 interface. Our method is useful in physical applications, and has also 
 second order accuracy.

Published July 10, 2000.
Math Subject Classifications: 65M06, 65M12, 65M15.
Key Words: Finite difference; Second order accuracy; Interface; Local coordinates.