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

Araújo, AdéritoBarbeiro, SílviaSerranho, Pedro2015-03-232015-03-232014Araújo, 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. 1-230272-49791464-3642http://hdl.handle.net/10400.2/3790In 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.engComplex reaction-diffusionStabilityFinite differencesStability of finite difference schemes for nonlinear complex reaction-diffusion processesjournal article2015-03-1310.1093/imanum/dru037