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Layer-resolving mesh method for convection-diffusion delay problems with boundary turning points | ||
| Journal of Mathematical Modeling | ||
| مقاله 13، دوره 13، شماره 4، اسفند 2025، صفحه 943-966 اصل مقاله (1.08 M) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2025.30347.2724 | ||
| نویسندگان | ||
| Yimesgen Mehari Kebede* ؛ Awoke Andargie Tiruneh؛ Endalew Getnet Tsega | ||
| Department of Mathematics, College of Science, Bahir Dar University, Bahir Dar, Ethiopia. | ||
| چکیده | ||
| This paper introduces a numerical scheme designed to solve time-delay singularly perturbed parabolic convection-diffusion problems with turning points. A small parameter induces boundary layers, making standard methods ineffective. To tackle these challenges, we developed a layer-resolving numerical scheme using the Crank-Nicolson method (time) and a central finite difference method on a Shishkin mesh (space). The stability and parameter-uniform convergence analysis show that the error decreases quadratically. Numerical results demonstrate higher accuracy than existing approaches. | ||
| کلیدواژهها | ||
| Singularly perturbed؛ Layer resolving mesh؛ Parameter uniform؛ Turning points؛ Central-difference | ||
| مراجع | ||
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