Adaptive ADI numerical analysis of 2D quenching-type reaction: diffusion equation with convection term

DOI10.1155/2020/8161804zbMath1459.65164OpenAlexW3035108029MaRDI QIDQ779560

Yongbin Ge, Xiaoliang Zhu

Publication date: 13 July 2020

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/8161804

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (3)

Adaptive ADI difference solution of quenching problems based on the 3D convection-reaction-diffusion equation ⋮ A high-order compact LOD method for solving the three-dimensional reaction-diffusion equation with nonlinear reaction term ⋮ Adaptive high-order finite difference analysis of 2D quenching-type convection-reaction-diffusion equation

Cites Work

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• A semi-adaptive compact splitting method for the numerical solution of 2-dimensional quenching problems
• Multigrid method based on the transformation-free HOC scheme on nonuniform grids for 2D convection diffusion problems
• Numerical studies of adaptive finite element methods for two dimensional convection-dominated problems
• Adaptive decomposition finite difference methods for solving singular problems -- a review
• On solutions of initial -boundary problem for \(u_t=u_{xx}+1/(1-u)\)
• Parabolic quenching for nonsmooth convex domains
• An adaptive grid method for degenerate semilinear quenching problems
• Numerical solutions to singular reaction-diffusion equation over elliptical domains
• A positivity preserving variational method for multi-dimensional convection-diffusion-reaction equation
• Fourth-order compact finite difference method for solving two-dimensional convection-diffusion equation
• An adaptive splitting approach for the quenching solution of reaction-diffusion equations over nonuniform grids
• Fourier spectral method for higher order space fractional reaction-diffusion equations
• Numerical solution of degenerate stochastic Kawarada equations via a semi-discretized approach
• Mathematical analysis and numerical simulation of patterns in fractional and classical reaction-diffusion systems
• A splitting moving mesh method for reaction-diffusion equations of quenching type
• On the monotonicity of an adaptive splitting scheme for two-dimensional singular reaction–diffusion equations
• Blow-up or no blow-up? A unified computational and analytic approach to 3D incompressible Euler and Navier–Stokes equations
• The Quenching of Solutions of Semilinear Hyperbolic Equations
• Solving Degenerate Reaction-Diffusion Equations via Variable Step Peaceman--Rachford Splitting
• A transformation-free HOC scheme for steady convection–diffusion on non-uniform grids
• A compact adaptive approach for degenerate singular reaction‐diffusion equations
• The method of fundamental solutions for non‐linear thermal explosions
• Nonuniform Crank‐Nicolson scheme for solving the stochastic Kawarada equation via arbitrary grids
• Remarks on quenching

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