On the positivity, monotonicity, and stability of a semi-adaptive LOD method for solving three-dimensional degenerate Kawarada equations

DOI10.1016/j.jmaa.2016.02.071zbMath1381.35091arXiv1901.06356OpenAlexW2288655427MaRDI QIDQ268523

Qin Sheng, Joshua Lee Padgett

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

zbMATH Keywords

degeneracynonuniform gridssplitting methodKawarada equationsquenching singularitytemporal adaptation

Mathematics Subject Classification ID

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

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