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

被引：26

作者：

D'Ambrosio, Raffaele ^{[1
]}

Paternoster, Beatrice ^{[1
]}

机构：

[1] Univ Salerno, Dept Math, Fisciano, Sa, Italy

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2016年 / 294卷

关键词：

Reaction-diffusion equations; lambda-omega systems; Periodic plane wave solutions; Exponential fitting; Special purpose numerical methods; RUNGE-KUTTA METHODS; CELL-CYCLE; WAVES;

D O I：

10.1016/j.cam.2015.08.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The numerical solution of reaction-diffusion equations of lambda-omega 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. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：436 / 445

页数：10

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