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Pouria Assari

Pouria Assari

Academic rank: Associate Professor
ORCID:
Education: PhD.
ScopusId: 35253362500
HIndex:
Faculty: Faculty of Science
Address:
Phone: 08138213642

Research

Title
Solution of delay logistic equation via the local radial basis functions
Type
Presentation
Keywords
Logistic growth, Delay equation, Local radial basis functions, Volterra integral equations, Meshless method
Year
2022
Researchers Fatemeh Asadi-Mehregan ، Pouria Assari

Abstract

We derive an alternative expression for a delayed logistic equation, assum ing that the rate of change of the population depends on three components: growth, death, and intraspeci c competition, with the delay in the growth component. In this paper, we intend to propose a computational method for solving these types of biological problems. The presented scheme utilizes the shape functions of the local radial basis functions constructed on distributed data as a basis in the discrete collo- cation method. The algorithm of the new approach is computationally attractive and easy to implement on computers. Since the scheme does not require any mesh gen- erations on the domain, it can be identi ed as a meshless method. The validity and efficiency of the new technique are demonstrated through one numerical example.