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

Araújo, Adérito; Barbeiro, Sílvia; Serranho, Pedro

http://hdl.handle.net/10400.2/3790

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Authors

Araújo, Adérito

Barbeiro, Sílvia

Serranho, Pedro

Abstract(s)

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.

Keywords

Complex reaction-diffusion Stability Finite differences

URI

http://hdl.handle.net/10400.2/3790

Citation

Araújo, Adérito; Barbeiro, Sílvia; Serranho, Pedro - Stability of finite difference schemes for nonlinear complex reaction-diffusion processes. "IMA Journal of Numerical Analysis" [Em linha]. ISSN 0272-4979 (Print) 1464-3642 (Online). (2014), p. 1-23