Stability of finite difference schemes for nonlinear complex reaction–diffusion processes | Zendy

Adérito Araújo | Zendy; Sílvia Barbeiro | Zendy; Pedro Serranho | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Stability of finite difference schemes for nonlinear complex reaction–diffusion processes

Author(s) -

Adérito Araújo,

Sílvia Barbeiro,

Pedro Serranho

Publication year - 2014

Publication title -

ima journal of numerical analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.672

H-Index - 66

eISSN - 1464-3642

pISSN - 0272-4979

DOI - 10.1093/imanum/dru037

Subject(s) - mathematics , stability (learning theory) , nonlinear system , reaction–diffusion system , finite difference , finite difference method , diffusion , mathematical analysis , thermodynamics , computer science , physics , quantum mechanics , machine learning

In this paper we consider explicit, implicit and semiimplicit finite difference schemes for a general nonlinear reaction–diffusion equation. The stability condition for each method is established and several particular cases are highlighted. To illustrate the theoretical results we present some numerical examples

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research