On the positivity, monotonicity, and stability of a semi-adaptive LOD method for solving three-dimensional degenerate Kawarada equations
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Publication:268523
DOI10.1016/j.jmaa.2016.02.071zbMath1381.35091arXiv1901.06356OpenAlexW2288655427MaRDI QIDQ268523
Publication date: 15 April 2016
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1901.06356
degeneracynonuniform gridssplitting methodKawarada equationsquenching singularitytemporal adaptation
Initial-boundary value problems for second-order parabolic equations (35K20) Degenerate parabolic equations (35K65) Semilinear parabolic equations (35K58)
Related Items (7)
Adaptive ADI difference solution of quenching problems based on the 3D convection-reaction-diffusion equation ⋮ Analysis of an approximation to a fractional extension problem ⋮ Convergence of an Operator Splitting Scheme for Abstract Stochastic Evolution Equations ⋮ Quenching study of two-dimensional fractional reaction-diffusion equation from combustion process ⋮ Numerical approximations to a fractional Kawarada quenching problem ⋮ Numerical solution of degenerate stochastic Kawarada equations via a semi-discretized approach ⋮ The quenching of solutions to time-space fractional Kawarada problems
Cites Work
- A numerical study of three moving-grid methods for one-dimensional partial differential equations which are based on the method of lines
- Adaptive decomposition finite difference methods for solving singular problems -- a review
- On the stability of mesh equidistribution strategies for time-dependent partial differential equations
- On solutions of initial -boundary problem for \(u_t=u_{xx}+1/(1-u)\)
- Stability of the Peaceman-Rachford approximation
- An adaptive Rothe method for nonlinear reaction-diffusion systems
- Parabolic quenching for nonsmooth convex domains
- Mathematical problems from combustion theory
- Quenching, nonquenching, and beyond quenching for solution of some parabolic equations
- An adaptive splitting approach for the quenching solution of reaction-diffusion equations over nonuniform grids
- Chaos-free numerical solutions of reaction-diffusion equations
- Channel flow with temperature-dependent viscosity and internal viscous dissipation
- Solving Degenerate Reaction-Diffusion Equations via Variable Step Peaceman--Rachford Splitting
- Nth-Order Operator Splitting Schemes and Nonreversible Systems
- A Revisit of the Semi-Adaptive Method for Singular Degenerate Reaction-Diffusion Equations
- Remarks on quenching
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