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Published July 1, 1992 | public
Journal Article

A note on uniform in time error estimates for approximations to reaction-diffusion equations

Abstract

The approximation of solutions of reaction-diffusion equations that approach asymptotically stable, hyperbolic equilibria is considered. Near such equilibria trajectories of the equation contract and hence it is possible to seek error estimates that are uniformly valid in time. A technique for the derivation of such estimates is illustrated in the context of an explicit Euler finite-difference scheme.

Additional Information

© 1992 Oxford University Press. Received: 05 November 1990. Revision Received: 17 July 1991. Published: 01 July 1992. The authors have been partially supported by project CICYT PB-86-0313.

Additional details

Created:
August 20, 2023
Modified:
March 5, 2024