Title :
A stability approach for reaction-diffusion problems
Author :
Fekete, I. ; Farago, I.
Author_Institution :
Dept. of Appl. Anal. & Comput. Math., Eotvos Lorand Univ., Budapest, Hungary
Abstract :
In this paper we investigate the N-stability notion in an abstract Banach space setting. The main result is that we verify the N-stability of the implicit difference method for the periodic initial-value reaction-diffusion problem.
Keywords :
Banach spaces; difference equations; reaction-diffusion systems; stability; Banach space; N-stability notion; implicit difference method; periodic initial-value reaction-diffusion problem; stability approach; Convergence; Estimation; Numerical stability; Stability criteria;
Conference_Titel :
Applied Computational Intelligence and Informatics (SACI), 2013 IEEE 8th International Symposium on
Conference_Location :
Timisoara
Print_ISBN :
978-1-4673-6397-6
DOI :
10.1109/SACI.2013.6608965
