[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.7858/eamj.2019.013

A NOTE ON NUMERICAL APPROACHES FOR HEAT-DIFFUSION EQUATION WITH HETEROGENEOUS MEDIA AND ITS APPLICATIONS

Seo, Sat byul (Department of Mathematics Education, Kyungnam University)

Publication Information

East Asian mathematical journal / v.35, no.1, 2019 , pp. 99-108 More about this Journal

Abstract

In this paper, we introduce a numerical approach to solve heat-diffusion equation with discontinuous diffusion coefficients in the three dimensional rectangular domain. First, we study the support operator method and suggest a new method, the continuous velocity method. Further, we apply both methods to a diffusion process for neurotransmitter release in an individual synapse and compare their results.

Keywords

heat-diffusion equation; discontinuous diffusion coefficients; harmonic averaging; finite difference method; error estimates;

Citations & Related Records

Reference

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