Abstract
In this paper, a class of linear parabolic systems of singularly perturbed Robin problems is considered. The components of the solution \(\vec {v}\) 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.
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References
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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
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DOI: https://doi.org/10.1007/978-981-16-7546-1_7
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