Superconvergence analysis for nonlinear reaction‐diffusion equation with BDF‐FEM

DOI10.1002/mma.6229zbMath1446.65182OpenAlexW3000547786MaRDI QIDQ5119042

Junjun Wang, Dong-Yang Shi

Publication date: 2 September 2020

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.6229

zbMATH Keywords

nonlinear reaction-diffusion equationtemporal errorunconditional superconvergent resultsspatial errorBDF Galerkin FEM

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (5)

Superconvergence results for nonlinear Klein-Gordon-Schrödinger equation with backward differential formula finite element method ⋮ Superconvergence analysis for nonlinear viscoelastic wave equation with strong damping ⋮ Error analysis of a fully discrete projection method for magnetohydrodynamic system ⋮ Superconvergence analysis of an energy stable scheme with three step backward differential formula‐finite element method for nonlinear reaction–diffusion equation ⋮ Unconditional superconvergence of the fully-discrete schemes for nonlinear prey-predator model

This page was built for publication: Superconvergence analysis for nonlinear reaction‐diffusion equation with BDF‐FEM