References
- Pramod Chakravarthy Podila and Kamalesh Kuma, A new stable finite difference scheme and its convergence for time-delayed singularly perturbed parabolic PDEs, Springer Science and Business Media, 2020.
- Tesfaye A, Gemechis F, Guy D, Fitted Operator Average Finite Difference Method for Solving Singularly Perturbed Parabolic Convection- Diffusion Problems, International Journal of Engineering and Applied Sciences 11 (2019),414-427. https://doi.org/10.24107/ijeas.567374
- Lolugu Govindarao and Jugal Mohapatra, A second order numerical method for singularly perturbed delay parabolic partial differential equation, Engineering Computations 36 (2018),420-444. https://doi.org/10.1108/ec-08-2018-0337
- Abhishek Das and Srinivasan Natesanx, Second-order uniformly convergent numerical method for singularly perturbed delay parabolic partial differential equations, International Journal of Computer Mathematics 95 (2017),490-510. https://doi.org/10.1080/00207160.2017.1290439
- J.J.H. Miller, E. O'Riordan, G.I. Shishkin, Fitted mesh methods for problems with parabolic boundary layers, Mathematical Proceedings of the Royal Irish Academy 24 (2016),173-190.
- S. Gowrisankar, and Srinivasan Natesan, ϵ-Uniformly Convergent Numerical Scheme for Singularly Perturbed Delay Parabolic Partial Differential Equations, International Journal of Computer Mathematics 94 (2017),902-921. https://doi.org/10.1080/00207160.2016.1154948
- Justin B. Munyakazi and Kailash C. Patidar, A fitted numerical method for singularly perturbed parabolic reaction-diffusion problems, Computational and Applied Mathematics, 32 (2013), 509-519. https://doi.org/10.1007/s40314-013-0033-7
- E.B.M. Bashier and K.C. Patidar, A second-order fitted operator finite difference method for a singularly perturbed delay parabolic partial differential equation, Journal of Difference Equations and Applications 17 (2011),779-794. https://doi.org/10.1080/10236190903305450
- Mohan K. Kadalbajoo and Ashish Awasthi, The Midpoint Upwind Finite Difference Scheme for Time-Dependent Singularly Perturbed Convection-Diffusion Equations on Non-Uniform Mesh, International Journal for Computational Methods in Engineering Science and Mechanics 12 (2011), 150-159. https://doi.org/10.1080/15502287.2011.564264
- Mohan K. Kadalbajoo, Kailash C. Patidar, Kapil K. Sharma, ϵ-Uniformly convergent fitted methods for the numerical solution of the problems arising from singularly perturbed general DDEs, Applied Mathematics and Computation, 182 (2006),119-139. https://doi.org/10.1016/j.amc.2006.03.043
- J.D. Murray, Mathematical Biology, Interdisciplinary Applied Mathematics 2 (2007),1-2877. https://doi.org/10.1142/9789812770639_0001
- G.I. Shishkin, J.J.H. miller and E. O'riordan, Fitted Numerical Methods for Singular Perturbation Problems, World Scientific Publishing 1 (2000),1-191. https://doi.org/10.1100/tsw.2000.1
- H.G. Roos, M. Stynes, and L. Tobiska, Numerical Methods for Singularly Perturbed Differential Equations, Springer-Verlag, 1996.
- Robert E. O'Malley, Historical Developments in Singular Perturbations, Springer, 1991.