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

Araújo, AdéritoBarbeiro, SílviaSerranho, Pedro2015-03-032015-03-032015Araújo, Adérito; Barbeiro, Sílvia; Serranho, Pedro - Convergence of finite difference schemes for nonlinear complex reaction-diffusion processes. "SIAM Journal on Numerical Analysis" [Em linha]. ISSN 0036-1429 (Print) 1095-7170 (Online). Vol. 51, nº 1 (2015), p. 228-2500036-14291095-7170http://hdl.handle.net/10400.2/3744This paper is devoted to the proof of the convergence properties of a class of finite difference schemes applied to nonlinear complex reaction-diffusion equations. We investigate the accuracy of the numerical solution considering implicit and semi-implicit discretizations. To illustrate the theoretical results we present some numerical examples computed with a semi-implicit scheme applied to a nonlinear equation.porFinite differencesComplex reaction-diffusionConvergenceConvergence of finite difference schemes for nonlinear complex reaction-diffusion processesjournal article2015-02-2710.1137/130933642