Publication Type : Conference Proceedings
Publisher : Springer
Source : Differential Equations and Applications
Url : https://link.springer.com/chapter/10.1007/978-981-16-7546-1_7
Campus : Chennai
School : School of Engineering
Year : 2022
Abstract : In this paper, a class of linear parabolic systems of singularly perturbed Robin problems is considered. The components of the solution 𝑣→ 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 : R. Ishwariy, John J. H. Miller, Valarmathi Sigamani, A Parameter-Uniform Essentially First-Order Convergence of a Fitted Mesh Method for a Class of Parabolic Singularly Perturbed System of Robin Problems, Differential Equations and Applications, 2022.