A finite difference scheme for an interface problem

作者：Wu Yingying^*; Truscott Simon; Okada Masami

来源：Japan Journal of Industrial and Applied Mathematics, 2010, 27(2): 239-262.

DOI：10.1007/s13160-010-0004-y

• FDM
• Newton polynomial
• Interface problem

We propose a new finite difference scheme for an interface problem with piecewise constant coefficients. We use the Newton polynomial and continuity of flux to obtain finite difference scheme of second-order accuracy at the interface. We give several examples which show that the numerical solutions have O(h(2)) accuracy.

• 出版日期2010-9