A high-order compact LOD method for solving the three-dimensional reaction-diffusion equation with nonlinear reaction term

DOI10.1007/s40314-022-02178-6OpenAlexW4317033642MaRDI QIDQ2686528

Publication date: 27 February 2023

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-022-02178-6

zbMATH Keywords

blow-up quenching convergence and stability high-order compact LOD scheme reaction-diffusion equation with nonlinear reaction

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Semilinear parabolic equations (35K58) Singular parabolic equations (35K67) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

Cites Work

Unnamed Item
A higher-order compact LOD method and its extrapolations for nonhomogeneous parabolic differential equations
Blowup, extinction and non-extinction for a nonlocal \(p\)-biharmonic parabolic equation
On the computation of the numerical blow-up time
A semi-adaptive compact splitting method for the numerical solution of 2-dimensional quenching problems
Bounds for the blowup time of the solution to a parabolic system with nonlocal factors in nonlinearities
Error and extrapolation of a compact LOD method for parabolic differential equations
Adaptive ADI numerical analysis of 2D quenching-type reaction: diffusion equation with convection term
Moving mesh methods for blowup in reaction-diffusion equations with traveling heat source
High-order compact ADI methods for parabolic equations
On solutions of initial -boundary problem for \(u_t=u_{xx}+1/(1-u)\)
Blowing up of a finite difference solution to \(u_t=u_{xx}+u^2\)
An efficient high-order algorithm for solving systems of 3-D reaction-diffusion equations
Quenching, nonquenching, and beyond quenching for solution of some parabolic equations
Blow-up for semidiscretizations of reaction-diffusion equations
A two-level linearized compact ADI scheme for two-dimensional nonlinear reaction-diffusion equations
Extrapolation algorithm of compact ADI approximation for two-dimensional parabolic equation
A novel time efficient structure-preserving splitting method for the solution of two-dimensional reaction-diffusion systems
Stability and error estimates of a new high-order compact ADI method for the unsteady 3D convection-diffusion equation
Analysis and application of a compact multistep ADI solver for a class of nonlinear viscous wave equations
Nonlinear partial differential equations in engineering
An accurate LOD scheme for two-dimensional parabolic problems
A compact locally one-dimensional finite difference method for nonhomogeneous parabolic differential equations
An efficient high-order algorithm for solving systems of reaction-diffusion equations
A compact adaptive approach for degenerate singular reaction‐diffusion equations
On the Blowup of u t at Quenching
A high‐order ADI finite difference scheme for a 3D reaction‐diffusion equation with neumann boundary condition
Local one-dimensional difference schemes for multi-dimensional hyperbolic equations in an arbitrary region

This page was built for publication: A high-order compact LOD method for solving the three-dimensional reaction-diffusion equation with nonlinear reaction term