Abstract
In this paper, we discuss singularly perturbed semi-linear parabolic equations for one dimension and two dimension, we find numerical solutions by using both the line-method and the exact difference scheme on a special non-uniform discretization mesh. The uniform convergence in ε of the first order accuracy is obtained.
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Qi-guang, W., Ji-chun, L. Numerical solutions for singularly perturbed semi-linear parabolic equation. Appl Math Mech 14, 793–801 (1993). https://doi.org/10.1007/BF02457474
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DOI: https://doi.org/10.1007/BF02457474