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Analytical and numerical solution of the nonlinear differential equation for self-igniting reaction diffusion systems: Mathematical modelling approach | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 11، دوره 14، شماره 10، دی 2023، صفحه 107-116 اصل مقاله (717.99 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.31572.3499 | ||
| نویسندگان | ||
| Saravanakumar S1؛ Eswari A* 2؛ Haydar Akca3 | ||
| 1Department of Science and Humanities, Sri Ramakrishna Institute of Technology, Coimbatore, India | ||
| 2Department of Physical Science and Information Technology, Agricultural Engineering College and Research Institute, Tamil Nadu Agricultural University, Coimbatore, India | ||
| 3Abu Dhabi University, College of Arts and Sciences, Department of Applied Sciences and Mathematics, Abu Dhabi, UAE | ||
| تاریخ دریافت: 25 فروردین 1401، تاریخ بازنگری: 31 اردیبهشت 1401، تاریخ پذیرش: 09 تیر 1401 | ||
| چکیده | ||
| Mathematical models of self-igniting reaction diffusion systems are discussed theoretically. The model comprises a system of reaction-diffusion equations that are nonlinearly connected. The efficient and easily accessible analytical technique AGM was used to solve the steady-state non-linear equations for a self-igniting reaction diffusion system. The proposed method’s efficiency and accuracy will be tested against some of the widely used numerical approaches found in the literature Herein, we present the generalized approximate analytical solution for the concentration of gas reactant and temperature for the experimental values of heat of reaction, thermal Thiele modulus and activation energy parameters. Using the Matlab / Scilab program, we also derive the numerical solution to this problem. Simulated data and previously published limiting cases are used to validate the new analytical results. A reasonable agreement is observed. | ||
| کلیدواژهها | ||
| self-igniting؛ Gas reactant؛ temperature؛ Thiele modulus؛ activation energy؛ mathematical modelling | ||
| مراجع | ||
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