M210, Department of Mathematics, NTNU
(臺灣師範大學數學系 M210)
A Finite Difference Method for a Linear Parabolic Interface Problem with Nonlinear Interface Conditions
So-Hsiang Chou (Bowling Green State University)
Abstract
We introduce a finite difference method to solve a parabolic interface problem which has a nonhomogeneous flux jump condition and a nonlinear jump condition in the primary variable, The solution is discontinuous and it is approximated by a sequence of linear problems with linear jumps. Rigorous convergence results are obtained and numerical experiments confirm the theory.
Organizers: Tsung-Ming Huang (NTNU), Wei-Fan Hu (NCU), Matthew M. Lin (NCKU), Ming-Cheng Shiue (NYCU),Weichung Wang (NTU), Suh-Yuh Yang (NCU)
