A numerical simulation for the blow-up of semi-linear diffusion equations

DOI10.1080/00207160701627161zbMath1166.65388OpenAlexW2144317068MaRDI QIDQ3615553

Fernando Vadillo, Francisco de la Hoz

Publication date: 20 March 2009

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160701627161

zbMATH Keywords

blow-upsemi-linear diffusion equations

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57) Heat equation (35K05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (3)

Numerical simulations of time-dependent partial differential equations ⋮ Blow-up of Solutions to Reaction-diffusion System with Nonstandard Growth Conditions ⋮ An exponential time differencing method for the nonlinear Schrödinger equation

Uses Software

• Differentiation Matrix Suite

Cites Work

• Exponential time differencing for stiff systems
• A new class of time discretization schemes for the solution of nonlinear PDEs
• The Role of Critical Exponents in Blowup Theorems
• Spectral Methods in MATLAB
• A quasi-steady-state solver for the stiff ordinary differential equations of reaction kinetics
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