MULTIPLE SOLUTIONS OF A GENERALIZED SINGULAR PERTURBED BRATU PROBLEM

DOI10.1142/S0218127412500952zbMath1258.34043OpenAlexW2032858048MaRDI QIDQ4908776

Ferdinand Verhulst, Eusebius J. Doedel, Taoufik Bakri, Yuri A. Kuznetsov

Publication date: 6 March 2013

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127412500952

zbMATH Keywords

boundary value problemsasymptotic expansionsnumerical continuationbranch points

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Singular perturbations for ordinary differential equations (34E15) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (4)

Iterative differential quadrature solutions for Bratu problem ⋮ Nonstandard finite differences for a truncated Bratu-Picard model ⋮ Higher order nonuniform grids for singularly perturbed convection-diffusion-reaction problems ⋮ A homotopy perturbation method for fractional-order advection-diffusion-reaction boundary-value problems

Cites Work

• Dynamics of the solution of Bratu's equation
• Applications of the Maximum Principle to Singular Perturbation Problems
• NUMERICAL ANALYSIS AND CONTROL OF BIFURCATION PROBLEMS (II): BIFURCATION IN INFINITE DIMENSIONS
• Some problems in the theory of quasilinear equations
• Boundary Layer Methods for Nonlinear Initial Value Problems

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