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.
Kebede, Y. Mehari , Tiruneh, A. Andargie and Tsega, E. Getnet (2025). Layer-resolving mesh method for convection-diffusion delay problems with boundary turning points. Journal of Mathematical Modeling, 13(4), 943-966. doi: 10.22124/jmm.2025.30347.2724
MLA
Kebede, Y. Mehari, , Tiruneh, A. Andargie, and Tsega, E. Getnet. "Layer-resolving mesh method for convection-diffusion delay problems with boundary turning points", Journal of Mathematical Modeling, 13, 4, 2025, 943-966. doi: 10.22124/jmm.2025.30347.2724
HARVARD
Kebede, Y. Mehari, Tiruneh, A. Andargie, Tsega, E. Getnet (2025). 'Layer-resolving mesh method for convection-diffusion delay problems with boundary turning points', Journal of Mathematical Modeling, 13(4), pp. 943-966. doi: 10.22124/jmm.2025.30347.2724
CHICAGO
Y. Mehari Kebede , A. Andargie Tiruneh and E. Getnet Tsega, "Layer-resolving mesh method for convection-diffusion delay problems with boundary turning points," Journal of Mathematical Modeling, 13 4 (2025): 943-966, doi: 10.22124/jmm.2025.30347.2724
VANCOUVER
Kebede, Y. Mehari, Tiruneh, A. Andargie, Tsega, E. Getnet Layer-resolving mesh method for convection-diffusion delay problems with boundary turning points. Journal of Mathematical Modeling, 2025; 13(4): 943-966. doi: 10.22124/jmm.2025.30347.2724
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