Numerical solution of reaction–diffusion systems of λ–ω type by trigonometrically fitted methods

• Raffaele D'Ambrosio ^[1] ; Beatrice Paternoster ^[1]
  1. [1] University of Salerno

     University of Salerno

     Fisciano, Italia

     
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 294, Nº 1 (1 March 2016), 2016, págs. 436-445
• Idioma: inglés
• DOI: 10.1016/j.cam.2015.08.012
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• Resumen

  • 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.