Multiple bifurcations in a reaction-diffusion problem

DOI10.1016/S0898-1221(98)00042-XzbMath1001.65095MaRDI QIDQ1608440

R. Smith

Publication date: 6 August 2002

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

Full work available at URL: https://eudml.org/doc/120406

zbMATH Keywords

numerical resultslinear stabilityreaction-diffusion equationscontinuation methodsBCG algorithmdouble bifurcation

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Bifurcations in context of PDEs (35B32) Numerical solution of nonlinear eigenvalue and eigenvector problems (65H17)

Related Items (7)

Numerical computation of bifurcations in large equilibrium systems in \textsc{Matlab} ⋮ MULTIGRID-CONJUGATE GRADIENT TYPE METHODS FOR REACTION–DIFFUSION SYSTEMS ⋮ Two-grid discretization schemes for nonlinear Schrödinger equations ⋮ Multiple bifurcations generated by mode interactions in a reaction-diffusion problem ⋮ Analysis of dynamic properties on forest restoration-population pressure model ⋮ CONTINUATION FOR NONLINEAR ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS DISCRETIZED BY THE MULTIQUADRIC METHOD ⋮ TRACING THE SOLUTION SURFACE WITH FOLDS OF A TWO-PARAMETER SYSTEM

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