The numerical solution of reaction-diffusion equations of λ–ω type, which are known to possess a one-parameter family of periodic plane wave solutions, is object of this paper. Due to the periodic character of such solutions, a special purpose numerical integration is here proposed, based on adapted finite differences. The adaptation occurs at the level of the problem, by a suitable spatial semi-discretization based on trigonometrically fitted finite differences. Numerical experiments confirming the effectiveness of the approach are given.

Numerical solution of reaction–diffusion systems of lambda-omega type by trigonometrically fitted methods

PATERNOSTER, Beatrice
2016

Abstract

The numerical solution of reaction-diffusion equations of λ–ω type, which are known to possess a one-parameter family of periodic plane wave solutions, is object of this paper. Due to the periodic character of such solutions, a special purpose numerical integration is here proposed, based on adapted finite differences. The adaptation occurs at the level of the problem, by a suitable spatial semi-discretization based on trigonometrically fitted finite differences. Numerical experiments confirming the effectiveness of the approach are given.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11386/4649874
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