Group analysis and numerical approximation of proliferating and maturing cellular populations model

Noori Eskandari, Mohammad Hadi; Hejazi, S. Reza; Erfanian Oraei Dehrokhi, Hamid

doi:10.22060/ajmc.2025.23231.1243

Group analysis and numerical approximation of proliferating and maturing cellular populations model

Articles in Press

Document Type : Original Article

Authors

Mohammad Hadi Noori Eskandari

S. Reza Hejazi

Hamid Erfanian Oraei Dehrokhi

Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran

10.22060/ajmc.2025.23231.1243

Abstract

‎‎The present paper focuses on the symmetry analysis and numerical simulation of a type of delay PDEs called proliferating and maturing cellular population equations, which includes a delay $\tau > 0$ and a shrinked argument $a x$. The aim of this research is to establish the symmetry group of the considered equation by extending the Lie group analysis of differential equations to delay differential equations. Subsequently, an extended Jacobi-pseudo-spectral (JPS) method is applied to find numerical solutions to the equation.

Keywords

Lie symmetry

Jacobi-Pesudo-Spectral method

Delay differential equations

Subjects