Publication Type : Book Chapter
Source : In: Sigamani, V., Miller, J.J.H., Nagarajan, S., Saminathan, P. (eds) Differential Equations and Applications. ICABS 2019. Springer Proceedings in Mathematics & Statistics, vol 368. Springer, Singapore. https://doi.org/10.1007/978-981-16-7546-1_7
Url : https://link.springer.com/chapter/10.1007/978-981-16-7546-1_7
Campus : Chennai
School : School of Engineering
Department : Mathematics
Year : 2021
Abstract : In this paper, a class of linear parabolic systems of singularly perturbed Robin problems is considered. The components of the solution v⃗ of this system exhibit parabolic boundary layers with sublayers. The numerical method suggested in this paper is composed of a classical finite difference scheme on a piecewise- uniform Shishkin mesh. This method is proved to be first-order convergent in time and essentially first-order convergent in the space variable in the maximum norm uniformly in the perturbation parameters.
Cite this Research Publication : Ishwariya, R., Miller, J.J.H., Sigamani, V. (2021). "A Parameter-Uniform Essentially First-Order Convergence of a Fitted Mesh Method for a Class of Parabolic Singularly Perturbed System of Robin Problems". In: Sigamani, V., Miller, J.J.H., Nagarajan, S., Saminathan, P. (eds) Differential Equations and Applications. ICABS 2019. Springer Proceedings in Mathematics & Statistics, vol 368. Springer, Singapore. https://doi.org/10.1007/978-981-16-7546-1_7