An adaptive grid method for degenerate semilinear quenching problems

DOI10.1016/S0898-1221(00)00086-9zbMath0962.65079OpenAlexW1963668706MaRDI QIDQ1569984

N. Delaunay

Publication date: 9 July 2000

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(00)00086-9

zbMATH Keywords

convergencenumerical exampleserror estimationsemidiscretizationMilne methodadaptive grid methoddegenerate semilinear quenching problems

Mathematics Subject Classification ID

Related Items (10)

An exploration of combined dynamic derivatives on time scales and their applications ⋮ A semi-adaptive compact splitting method for the numerical solution of 2-dimensional quenching problems ⋮ Extremely low order time-fractional differential equation and application in combustion process ⋮ An effective \(z\)-stretching method for paraxial light beam propagation simulations ⋮ A preservative splitting approximation of the solution of a variable coefficient quenching problem ⋮ Quenching phenomenon in a fractional diffusion equation and its numerical simulation ⋮ Numerical quenching for the semilinear heat equation with a singular absorption ⋮ Numerical quenching of a system of equations coupled at the boundary ⋮ Adaptive decomposition finite difference methods for solving singular problems -- a review ⋮ Adaptive ADI numerical analysis of 2D quenching-type reaction: diffusion equation with convection term

Cites Work

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• On solutions of initial -boundary problem for \(u_t=u_{xx}+1/(1-u)\)
• An adaptive Rothe method for nonlinear reaction-diffusion systems
• Parallel LOD methods for second order time dependent PDEs
• A numerical method for semilinear singular parabolic quenching problems
• ODE solvers and the method of lines
• On the Blowup of u t at Quenching
• Remarks on quenching

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