2024 : 11 : 14

Mohammad Shahriari

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

Title
NONSTANDARD FINITE DIFFERENCE SCHEMES WITH APPLICATION TO BIOLOGICAL MODELS
Type
JournalPaper
Keywords
Predator-prey, Positivity, Elementary stability, Nonstandard fi nite difference.
Year
2022
Journal TWMS Journal of Applied and Engineering Mathematics
DOI
Researchers Mohammad Mehdizadeh ، Mohammad Shahriari

Abstract

This paper deals with the construction of nonstandard finite difference methods for solving a speci fic Rosenzweig-MacArthur predator-prey model. The reorganization of the denominator of the discrete derivatives and nonlocal approximations of nonlinear terms are used in the design of new schemes. We establish that the proposed nonstandard finite difference methods are elementary stable and satisfy the positivity requirement. We provide some numerical comparisons to illustrate our results.