Numerical verification method for solutions of the perturbed Gelfand equation

DOI10.4310/MAA.2000.V7.N1.A12zbMath1002.65122OpenAlexW2222484617MaRDI QIDQ5937120

Nobito Yamamoto, Teruya Minamoto, Mitsuhiro T. Nakao

Publication date: 4 November 2001

Published in: Methods and Applications of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/maa.2000.v7.n1.a12

zbMATH Keywords

numerical examplesnonlinear eigenvalue problemturning pointsGelfand equationnumerical verificationradially symmetric solution

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Algorithms with automatic result verification (65G20)

Related Items (3)

Numerical method with guaranteed accuracy of a double turning point for a radially symmetric solution of the perturbed Gelfand equation ⋮ Bifurcation curves in a combustion problem with general Arrhenius reaction-rate laws ⋮ Numerical method for verifying the existence and local uniqueness of a double turning point for a radially symmetric solution of the perturbed Gelfand equation

Uses Software

• PITCON

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