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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 تاریخ 23 بهمن 1403 | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22060/ajmc.2025.23231.1243 | ||
| نویسندگان | ||
| Mohammad Hadi Noori Eskandari1؛ S. Reza Hejazi* 2؛ Hamid Erfanian Oraei Dehrokhi1 | ||
| 1Department of Mathematical Sciences, Shahrood University of Technology, Shahrood, Semnan, Iran | ||
| 2Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Semnan, 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 | ||
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آمار تعداد مشاهده مقاله: 29 |
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