Immersed Interface Method for a Reaction-Diffusion Equation with a Moving Own Concentrated Source

Authors:
Juri D. Kandilarov
Affiliations:
-
Venue:
NMA '02 Revised Papers from the 5th International Conference on Numerical Methods and Applications
Year:
2002

Citing 1
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Abstract

An Immersed Interface Method (IIM) is developed for a reaction-diffusion problem with discontinuous coefficients and a moving own singular source. On a regular grid using Crank-Nicolson method a second order difference scheme is constructed. Numerical examples, which confirm theoretical analysis, are discussed.