An accurate computation of the global solution curve for the Gelfand problem through a two point approximation

DOI10.1016/S0096-3003(02)00199-6zbMath1030.65105MaRDI QIDQ1406196

Philip Korman

Publication date: 9 September 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

numerical experimentsspurious solutionsGelfand problemglobal solution curve

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Finite difference methods for boundary value problems involving PDEs (65N06)

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Cites Work

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• On the structure of solutions of an equation in catalysis theory when a parameter is large
• Numerical continuation and the Gelfand problem
• Symmetry and related properties via the maximum principle
• Exact multiplicity of positive solutions for a class of semilinear problems
• Mathematical problems from combustion theory
• Quasilinear Dirichlet problems driven by positive sources
• An Exact Multiplicity Result for a class of Semilinear Equations
• Numerical Methods for Bifurcations of Dynamical Equilibria