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

Araújo, Adérito; Barbeiro, Sílvia; Serranho, Pedro

http://hdl.handle.net/10400.2/3744

Use this identifier to reference this record.

Name:	Description:	Size:	Format:
AraujoBArbeiroSerranho2015_Convergence.pdf		346.8 KB	Adobe PDF	Download

Send Feedback

Authors

Araújo, Adérito

Barbeiro, Sílvia

Serranho, Pedro

Abstract(s)

This 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.

Keywords

Finite differences Complex reaction-diffusion Convergence

URI

http://hdl.handle.net/10400.2/3744

Citation

Araújo, 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. 228-250