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A MATHEMATICAL STUDY FOR AN AIR POLLUTION MODEL: STABILITY, CONVERGENCE AND NUMERICAL VERIFICATION | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 20 شهریور 1405 اصل مقاله (1.06 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2026.74116.3821 | ||
| نویسندگان | ||
| Karim Ivaz* 1؛ Ghader Darkhoshi1؛ Sina Ivaz2؛ Mehran Paziresh1 | ||
| 1Department of Applied Mathematics, Faculty of Mathematics, Statistics and Computer Science, University of Tabriz, Tabriz 5166616471, East Azerbaijan, Iran. | ||
| 2Graduate of Biomedical Engineering from Tabriz University of Technology (Sahand), Tabriz, Iran. | ||
| چکیده | ||
| This work presents the development and numerical analysis of a computational approach for solving an air pollution model formulated as a free-boundary problem. The numerical scheme employs the Variable Space Grid technique in conjunction with an explicit finite-difference discretization for the one-dimensional one-phase formulation. The obtained numerical results demonstrate strong agreement with the corresponding exact solutions and exhibit the anticipated convergence behavior as the spatial grid is progressively refined. | ||
| کلیدواژهها | ||
| Free boundary problem؛ Variable Space Grid (VSG) method؛ advection-diffusion equation؛ pollutant dispersion؛ finite difference scheme | ||
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آمار تعداد مشاهده مقاله: 64 تعداد دریافت فایل اصل مقاله: 76 |
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