Continuity of the quenching time in a heat equation with a nonlinear boundary condition.
Assalé, Louis A., Boni, Théodore K., Firmin (2008)
Bulletin of TICMI
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Displaying similar documents to “Numerical analysis of semilinear parabolic problems with blow-up solutions.”
Continuity of the quenching time in a heat equation with a nonlinear boundary condition.
Full discretization of some reaction diffusion equation with blow up
Geneviève Barro, Benjamin Mampassi, Longin Some, Jean Ntaganda, Ousséni So (2006)
Open Mathematics
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This paper aims at the development of numerical schemes for nonlinear reaction diffusion problems with a convection that blows up in a finite time. A full discretization of this problem that preserves the blow - up property is presented as well as a numerical simulation. Efficiency of the method is derived via a numerical comparison with a classical scheme based on the Runge Kutta scheme.
Numerical blow-up for the -Laplacian equation with a nonlinear source
Ferreira, Raúl, de Pablo, Arturo, Pérez-Llanos, Mayte
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Growth and accretion of mass in an astrophysical model, II
Piotr Biler, Tadeusz Nadzieja (1995)
Applicationes Mathematicae
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Radially symmetric solutions of a nonlocal Fokker-Planck equation describing the evolution of self-attracting particles in a bounded container are studied. Conditions ensuring either global-in-time existence of solutions or their finite time blow up are given.
The blow-up rate for a semilinear parabolic equation with a nonlinear boundary condition.
Rossi, J.D. (1998)
Acta Mathematica Universitatis Comenianae. New Series
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On blow-up and asymptotic behavior of solutions for some semilinear parabolic systems of second order
Théodore K. Boni (2000)
Bollettino dell'Unione Matematica Italiana
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In questo lavoro sotto queste ipotesi si ottengono alcune condizioni di non esistenza e di esistenza delle soluzioni per alcuni sistemi parabolici semilineari del secondo ordine. Inoltre si studia il comportamento asintotico di alcune soluzioni.
Global existence and blow-up for a completely coupled Fujita type system
Joanna Rencławowicz (2000)
Applicationes Mathematicae
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The Fujita type global existence and blow-up theorems are proved for a reaction-diffusion system of m equations (m>1) in the form with nonnegative, bounded, continuous initial values and positive numbers . The dependence on of the length of existence time (its finiteness or infinitude) is established.