Abstract
SummaryA three‐level explicit time‐split MacCormack method is proposed for solving the two‐dimensional nonlinear reaction‐diffusion equations. The computational cost is reduced thank to the splitting and the explicit MacCormack scheme. Under the well‐known condition of Courant‐Friedrich‐Lewy (CFL) for stability of explicit numerical schemes applied to linear parabolic partial differential equations, we prove the stability and convergence of the method in L∞(0,T;L2)‐norm. A wide set of numerical evidences which provide the convergence rate of the new algorithm are presented and critically discussed.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: International Journal for Numerical Methods in Fluids
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
