Numerical method with guaranteed accuracy of a double turning point for a radially symmetric solution of the perturbed Gelfand equation

DOI10.1016/j.cam.2003.12.001zbMath1061.65113OpenAlexW2065863267MaRDI QIDQ1877202

Teruya Minamoto

Publication date: 16 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.cam.2003.12.001

zbMATH Keywords

numerical examplecombustionfixed point theoremperturbed Gelfand equationextended systemguaranteed accuracydouble turning pointtwo-parameter-dependent nonlinear problem

Mathematics Subject Classification ID

Related Items (6)

Numerical method with guaranteed accuracy of a double turning point for a radially symmetric solution of the perturbed Gelfand equation ⋮ A blind digital image watermarking method based on the dyadic wavelet packet transform and fast interval arithmetic techniques ⋮ Numerical method for verifying the existence and local uniqueness of a double turning point for a radially symmetric solution of the perturbed Gelfand equation ⋮ A blind digital image watermarking method based on the dyadic wavelet transform and interval arithmetic ⋮ Topological instabilities in families of semilinear parabolic problems subject to nonlinear perturbations ⋮ A DIGITAL IMAGE WATERMARKING FOR AUTHENTICATION BASED ON THE DUAL-TREE COMPLEX DISCRETE WAVELET TRANSFORM AND INTERVAL ARITHMETIC

Uses Software

• PROFIL/BIAS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Numerical computation of nonsimple turning points and cusps
• PROFIL/BIAS - A fast interval library
• Numerical verification of solutions for nonlinear elliptic problems using an \(L^\infty\) residual method
• Mathematical problems from combustion theory
• Numerical method with guaranteed accuracy of a double turning point for a radially symmetric solution of the perturbed Gelfand equation
• Existence and enclosure results for continua of solutions of parameter- dependent nonlinear boundary value problems
• Non-simple Turning Points and Cusps
• A direct method for the determination of non-simple turning points
• A Numerical Verification Method for Solutions of Boundary Value Problems with Local Uniqueness by Banach's Fixed-Point Theorem
• Positive solutions of sublinear elliptic boundary value problems
• Numerical verification method for solutions of the perturbed Gelfand equation

This page was built for publication: Numerical method with guaranteed accuracy of a double turning point for a radially symmetric solution of the perturbed Gelfand equation