References
- Chawla , M. M. and Al-Zanaidi , M. A. 1999 . An extended trapezoidal formula for diffusion equation . Comput. Math. Appl. , 38 : 51 – 59 .
- Farrell , P. A. 2000 . Robust Computational Techniques for Boundary Layers , Boca Raton : Chapman & Hall/CRC Press .
- Farrell , P. A. , Hemker , P. W. and Shishkin , G. I. 1996 . Discrete approximations for singularly perturbed boundary value problems with parabolic layers, I . J. Comp. Math. , 14 ( 1 ) : 71 – 97 .
- Farrell , P. A. , Hemker , P. W. and Shishkin , G. I. 1996 . Discrete approximations for singularly perturbed boundary value problems with parabolic layers. II . J. Comp. Math. , 14 ( 2 ) : 183 – 194 .
- Farrell , P. A. , Hemker , P. W. and Shishkin , G. I. 1996 . Discrete approximations for singularly perturbed boundary value problems with parabolic layers. III . J. Comp. Math. , 14 ( 3 ) : 273 – 290 .
- Guo , W. and Stynes , M. 1993 . Finite element analysis of exponentially fitted lumped schemes for time-dependent convection-diffusion problems . Numer. Math. , 66 : 347 – 371 .
- Miller , J. J.H. , O'Riordan , E. and Shishkin , G. I. 1996 . Fitted Numerical Methods for Singular Perturbation Problems , Singapore : World Scientific .
- Miller etal , J. J.H. 1993 . Fitted mesh methods for problems with parabolic boundary layers . Math. Proc. R. Ir. Acad. , 98A ( 2 ) : 173 – 190 .
- Natesan , S. and Deb , R. 2007 . A robust numerical scheme for singularly perturbed parabolic reaction-diffusion problems submitted for publication
- Natesan , S. and Deb , R. 2007 . Error analysis for higher-order schemes for parabolic reaction-diffusion problems Working paper
- Roos , H.-G. , Stynes , M. and Tobiska , L. 1996 . Numerical Methods for Singularly Perturbed Differential Equations , Berlin : Springer .
- Stynes , M. and O'Riordan , E. 1989 . Uniformly convergent difference schemes for singularly perturbed parabolic diffusion-convection problems without turning points . Numer. Math. , 55 : 521 – 544 .