2025/12/5
Kamal Shanazari

Kamal Shanazari

Academic rank: Associate Professor
ORCID:
Education: PhD.
H-Index:
Faculty: Faculty of Science
ScholarId:
E-mail: k.shanazari [at] uok.ac.ir
ScopusId: View
Phone: 33239345
ResearchGate:

Research

Title
Numerical solution of nonlinear reaction-diffusion equations using meshless radial point Hermite interpolation method‎
Type
Presentation
Keywords
Nonlinear reaction-diffusion equation‎, ‎Meshless method‎, ‎Radial basis funtion (RBF)‎, ‎Radial point Hermite interpolation (RPHI) method
Year
2022
Researchers Masoud Pendar ، Kamal Shanazari

Abstract

Nonlinear reaction-diffusion equations are used to model many nonlinear phenomena‎. ‎In this work we present a numerical method to the solve two-dimentional nonlinear reaction-diffusion equations‎. ‎Meshless and collocation techniques using radial basis functions (RBFs) with the help of radial point Hermite interpolation (RPHI) method are used to construct basis functions so called shape functions‎. ‎Due to the use of meshless method‎, ‎no mesh generation is done in the spatial domain‎. ‎Time discretization is performed using the finite difference method and Taylor expansion is used for the nonlinear part‎. ‎The accuracy and efficiency of the method are checked with a numerical example‎. ‎Results show that this procedure is stable through the time