Numerical experiments with a Shishkin numerical method for a singularly perturbed quasilinear parabolic problem with an interior layer

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Abstract

In Russ. Acad. Dokl. Math., 48, 1994, 346-352, Shishkin presented a numerical algorithm for a quasilinear time dependent singularly perturbed differential equation, with an internal layer in the solution. In this paper, we implement this method and present numerical results to illustrate the convergence properties of this numerical method. © 2013 Springer-Verlag.

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O’Riordan, E., & Quinn, J. (2013). Numerical experiments with a Shishkin numerical method for a singularly perturbed quasilinear parabolic problem with an interior layer. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 8236 LNCS, pp. 420–427). https://doi.org/10.1007/978-3-642-41515-9_47

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