Error bound analysis of finite-difference approximations for a class of nonlinear parabolic system in two-space dimensions

Error bound analysis of finite-difference approximations for a class of nonlinear parabolic system in two-space dimensions

In this paper, we establish the error bound for a finite-difference approximation to solutions of a class of Nonlinear Parabolic System in the form . We assume that the Cauchy Data is in and of class BV. We show that the sup norm of the error is bounded by for positive time.

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Veröffentlicht in:Applicable analysis 1995-02, Vol.56 (1-2), p.95-107
1. Verfasser: Zhao, Jennifer J.
Format: Artikel
Sprache:eng
Schlagworte:
finite difference scheme
nonlinear parabolic system
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Zusammenfassung:In this paper, we establish the error bound for a finite-difference approximation to solutions of a class of Nonlinear Parabolic System in the form . We assume that the Cauchy Data is in and of class BV. We show that the sup norm of the error is bounded by for positive time.
ISSN:0003-6811
1563-504X
DOI:10.1080/00036819508840312