Path-following for disjoint bifurcation problems arising in ignition theory

DOI10.1016/0895-7177(94)90036-1zbMath0799.35023OpenAlexW2064178862MaRDI QIDQ1328860

E. Balakrishnan, Graeme C. Wake, Adrian Swift

Publication date: 8 August 1994

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0895-7177(94)90036-1

zbMATH Keywords

discontinuity in the smallest branchpath- following softwareredefinition of the nonlinearitysymmetrical geometries

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear boundary value problems for ordinary differential equations (34B15) Combustion (80A25) Bifurcations in context of PDEs (35B32) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (4)

Critical values for some non-class \(A\) geometries in thermal ignition theory ⋮ Multiple solutions in hollow geometries in the theory of thermal ignition ⋮ The existence of steady states to a combustion model with internal heating ⋮ Solution of nonlinear equations and computation of multiple solutions of a simple reaction-diffusion equation

Uses Software

• AUTO
• AUTO-86

Cites Work

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• Disjoint bifurcation diagrams in combustion systems

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