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Mohammad Mehdizadeh

Academic rank: Professor
ORCID:
Education: PhD.
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Faculty: 1
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Research

Title
An Explicit Positivity-preserving Finite Difference Scheme for Advection-diffusion Reaction Equations
Type
JournalPaper
Keywords
Parabolic equations; Nonstandard finite differences; Positivity preserving
Year
2016
Journal International Journal of Nonlinear Science
DOI
Researchers Mohammad Mehdizadeh ،

Abstract

In this paper, we introduce a family of explicit finite difference schemes based on a nonstandard dicretization rules to approximate positive solutions of parabolic equations which include advection, diffu- sion and reaction terms. It is shown that the proposed numerical schemes preserve the positivity as well as stability and consistency. We give two examples from different applications.