Numerical Treatment for the Class of Time Dependent Singularly Perturbed Parabolic Problems with General Shift Arguments

Analysis of some difference approximations for a singular perturbation problem without turning points

R. Bruce Kellogg, Alice Tsan · Mathematics of Computation · 1978 · 437 citations

Natural Sciences, Computational Engineering, Computational Mechanics +13

A parameter-robust finite difference method for singularly perturbed delay parabolic partial differential equations

Ali Ansari, Shaaban A. Bakr, G. I. Shishkin · Journal of Computational and Applied Mathematics · 2006 · 153 citations

Natural Sciences, Computational Engineering, Mathematics +13

A uniformly convergent scheme on a nonuniform mesh for convection–diffusion parabolic problems

C. Clavero, J.C. Jorge, F.J. Lisbona · Journal of Computational and Applied Mathematics · 2003 · 134 citations

Engineering, Computational Engineering, Physics +16

A parameter-uniform numerical method for time-dependent singularly perturbed differential-difference equations

Devendra Kumar, Mohan K. Kadalbajoo · Applied Mathematical Modelling · 2010 · 77 citations

Natural Sciences, Mathematics, Physics +14

Upwind and midpoint upwind difference methods for time-dependent differential difference equations with layer behavior

V. P. Ramesh, Mohan K. Kadalbajoo · Applied Mathematics and Computation · 2007 · 52 citations

Natural Sciences, Mathematics, Physics +13