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

Document Type : Original Article

Authors

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

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 τ>0 and a shrinked argument ax. 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.

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