Immersed interface method for a reaction-diffusion equation with a moving own concentrated source

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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. © Springer-Verlag Berlin Heidelberg 2003.

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Kandilarov, J. D. (2003). Immersed interface method for a reaction-diffusion equation with a moving own concentrated source. Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 2542, 506–513. https://doi.org/10.1007/3-540-36487-0_57

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