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A Finite Difference Scheme for a Class of Nonlinear Parabolic Systems in 3D Space Variables

✍ Scribed by Jennifer J. Zhao

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 304 KB
Volume: 203
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.1996.0393

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✦ Synopsis

In this paper, we establish error bound analysis for a finite-difference approximation to the solutions for a class of Nonlinear Parabolic Systems in the form Ž . Ž . Ž . Ž . Ž . Ž . Ž . ѨrѨt ¨q ѨrѨx f ¨q ѨrѨ y g ¨q ѨrѨz h ¨s D ⌬¨. We assume that the initial data is sufficiently smooth and of class BV. The error is proved to be Ž <. bounded by O ⌬ x N ln ⌬ x for all positive time in an appropriate norm.

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