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#7315. A graded mesh refinement approach for boundary layer originated singularly perturbed time-delayed parabolic convection diffusion problems

November 2026	publication date
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Journal’s subject area:

Mathematics (all); Engineering (all);

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Abstract:
In this work, we consider a graded mesh refinement algorithm for solving time-delayed parabolic partial differential equations with a small diffusion parameter. The presence of this parameter leads to boundary layer phenomena. Here, we consider an adaptive graded mesh generation algorithm, which is based on an entropy function in conjunction with the classical difference schemes, to resolve the layer behavior.
Keywords:
adaptive mesh algorithm; algorithmic complexity; boundary layer phenomena; entropy; graded mesh; parabolic convection–diffusion problems; time delay

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