THE NUMERICAL SOLUTION OF A SINGULARLY PERTURBED PROBLEM FOR QUASILINEAR PARABOLIC DIFFERENTIAL EQUATION

THE NUMERICAL SOLUTION OF A SINGULARLY PERTURBED PROBLEM FOR QUASILINEAR PARABOLIC DIFFERENTIAL EQUATION

We consider the numerical solution of a singularly perturbed problem for the quasilinear parabolic differential equation, and construct a linear three-level finite difference scheme on a nonuniform grid. The uniform convergence in the sense of discrete L~2 norm is proved and numerical examples are p...

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Veröffentlicht in:Applied mathematics and mechanics 1992-06, Vol.13 (6), p.497-506
1. Verfasser: 苏煜城 沈全
Format: Artikel
Sprache:eng
Schlagworte:
convergence
difference
difTerential
equation
linear
parabolic
perturbation
quasilinear
scheme
singular
three-level
uniform
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Zusammenfassung:We consider the numerical solution of a singularly perturbed problem for the quasilinear parabolic differential equation, and construct a linear three-level finite difference scheme on a nonuniform grid. The uniform convergence in the sense of discrete L~2 norm is proved and numerical examples are presented.
ISSN:0253-4827
1573-2754
DOI:10.1007/BF02451512