Robust numerical scheme for singularly perturbed convection–diffusion parabolic initial–boundary-value problems on equidistributed grids

In this article, we study the numerical solution of singularly perturbed parabolic convection–diffusion problems exhibiting regular boundary layers. To solve these problems, we use the classical upwind finite difference scheme on layer-adapted nonuniform meshes. The nonuniform meshes are obtained by...

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Veröffentlicht in:	Computer physics communications 2014-07, Vol.185 (7), p.2008-2019
Hauptverfasser:	Gowrisankar, S., Natesan, Srinivasan
Format:	Artikel
Sprache:	eng
Schlagworte:	Adaptive grid Boundary layers Computer simulation Derivatives Equidistribution grid Finite difference method Mathematical analysis Mathematical models Monitors Nonuniform Singularly perturbed parabolic problem Truncation errors Uniform convergence Upwind finite difference scheme
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