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

	Group analysis and numerical approximation of proliferating and maturing cellular populations model
AUT Journal of Mathematics and Computing
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از 23 بهمن 1403
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22060/ajmc.2025.23231.1243
نویسندگان
Mohammad Hadi Noori Eskandari؛ S. Reza Hejazi^* ؛ Hamid Erfanian Oraei Dehrokhi
Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran
چکیده
‎‎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.
کلیدواژه‌ها
Lie symmetry؛ Jacobi-Pesudo-Spectral method؛ Delay differential equations
آمار تعداد مشاهده مقاله: 291