Error bounds for finite-difference approximations for a class of nonlinear parabolic systems

Authors:
David Hoff and Joel Smoller

Journal:
Math. Comp. **45** (1985), 35-49

MSC:
Primary 65M15; Secondary 35K99

DOI:
https://doi.org/10.1090/S0025-5718-1985-0790643-8

MathSciNet review:
790643

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Abstract: In this paper we establish error bounds for a finite-difference approximation to solutions of certain parabolic systems of the form . We assume that the Cauchy data is of class BV, and we show that the sup norm of the error is bounded by at positive times.

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DOI:
https://doi.org/10.1090/S0025-5718-1985-0790643-8

Article copyright:
© Copyright 1985
American Mathematical Society