Numerical approximations to a fractional Kawarada quenching problem

DOI10.1016/j.amc.2018.12.029zbMath1429.65178OpenAlexW2906752290WikidataQ128690735 ScholiaQ128690735MaRDI QIDQ2008893

Matthew A. Beauregard

Publication date: 26 November 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2018.12.029

zbMATH Keywords

fractional derivativesquenchingKawarada

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Fractional partial differential equations (35R11)

Related Items (5)

Adaptive ADI difference solution of quenching problems based on the 3D convection-reaction-diffusion equation ⋮ A semi-adaptive preservative scheme for a fractional quenching convective-diffusion problem ⋮ Adaptive high-order finite difference analysis of 2D quenching-type convection-reaction-diffusion equation ⋮ A note on the adaptive numerical solution of a Riemann-Liouville space-fractional Kawarada problem ⋮ A simulation expressivity of the quenching phenomenon in a two-sided space-fractional diffusion equation

Cites Work

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• On the positivity, monotonicity, and stability of a semi-adaptive LOD method for solving three-dimensional degenerate Kawarada equations
• A quenching criterion for a multi-dimensional parabolic problem due to a concentrated nonlinear source
• On solutions of initial -boundary problem for \(u_t=u_{xx}+1/(1-u)\)
• Parabolic quenching for nonsmooth convex domains
• Numerical solution of the space fractional Fokker-Planck equation.
• Numerical solutions to singular reaction-diffusion equation over elliptical domains
• An adaptive splitting approach for the quenching solution of reaction-diffusion equations over nonuniform grids
• A splitting moving mesh method for reaction-diffusion equations of quenching type
• Finite difference approximations for two-sided space-fractional partial differential equations
• A Liouville theorem for a heat equation and applications for quenching
• A numerical method for semilinear singular parabolic quenching problems
• The Quenching of Solutions of Some Nonlinear Parabolic Equations
• Solving Degenerate Reaction-Diffusion Equations via Variable Step Peaceman--Rachford Splitting
• A Revisit of the Semi-Adaptive Method for Singular Degenerate Reaction-Diffusion Equations
• A fully adaptive approximation for quenching‐type reaction‐diffusion equations over circular domains
• On the Partial Difference Equations of Mathematical Physics

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