Comments on a numerical algorithm for problems having interior power-of-type-2 layers

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Abstract

Paper (Munyakazi et al. (2018)), related to numerical solutions of singularly perturbed problems with a single interior turning point having an interior power-of-type-2 layer, has gross inaccuracies in both estimates of solution derivatives and numerical experiments. The author of the current paper would like, first, to point out the blunders; second, to make necessary corrections; and, third, to describe new forms of non-exponential layers and welcome and encourage the authors to work more laboriously and persistently at studying and mastering problems with such layers.

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Liseikin, V. D. (2022). Comments on a numerical algorithm for problems having interior power-of-type-2 layers. Mathematics and Computers in Simulation, 199, 253–256. https://doi.org/10.1016/j.matcom.2022.03.024

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