Abstract
The numerical solution of a singularly perturbed problem for the semilinear parabolic differential equation with parabolic boundary layers is discussed. A nonlinear two-level difference scheme is constructed on the special non-uniform grids. The uniform convergence of this scheme is proved and some numerical examples are given.
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Yu-cheng, S., Quan, C. The numerical solution of a singularly perturbed problem for semilinear parabolic differential equation. Appl Math Mech 12, 1047–1056 (1991). https://doi.org/10.1007/BF02457487
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DOI: https://doi.org/10.1007/BF02457487