Efficient parameter-robust numerical methods for singularly perturbed semilinear parabolic PDEs of convection-diffusion type

This paper is concerned with a class of singularly perturbed semilinear parabolic convection-diffusion initial-boundary-value problems exhibiting a boundary layer. This type of model problem often appears in modeling various physical phenomena, particularly, in mathematical biology; and thus, it req...

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Veröffentlicht in:	Numerical algorithms 2024-06, Vol.96 (2), p.925-973
Hauptverfasser:	Yadav, Narendra Singh, Mukherjee, Kaushik
Format:	Artikel
Sprache:	eng
Schlagworte:	Accuracy Algebra Algorithms Applied mathematics Asymptotic properties Boundary layers Boundary value problems Computational efficiency Computer Science Convection Convergence Diffusion layers Discretization Error analysis Exact solutions Extrapolation Finite difference method Mathematical analysis Methods Numeric Computing Numerical Analysis Numerical methods Original Paper Parabolic differential equations Parameter robustness Partial differential equations Robustness (mathematics) Stability analysis Theory of Computation
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