Non-monotonic blow-up problems: test problems with solutions in elementary functions, numerical integration based on non-local transformations

DOI10.1016/j.aml.2017.08.009zbMath1377.65084OpenAlexW2746754761MaRDI QIDQ1680024

Inna K. Shingareva, Andrei D. Polyanin

Publication date: 22 November 2017

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2017.08.009

zbMATH Keywords

numerical examplenumerical integrationnonlinear differential equationsnon-local transformationsnon-monotonic blow-up solutionssolutions of boundary-layer typetest problems with exact solutions

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (2)

Vanishing and blow-up solutions to a class of nonlinear complex differential equations near the singular point ⋮ Unnamed Item

Cites Work

• On the criteria for integrability of the Liénard equation
• Numerical validation of blow-up solutions of ordinary differential equations
• On the convergence of numerical blow-up time for a second order nonlinear ordinary differential equation
• An adaptive time step procedure for a parabolic problem with blow-up
• Difference schemes of optimum degree of implicitness for a family of simple ODEs with blow-up solutions
• Critical points at infinity and blow up of solutions of autonomous polynomial differential systems via compactification
• Numerical method of estimating the blow-up time and rate of the solution of ordinary differential equations -- an application to the blow-up problems of partial differential equations
• On the computation of blow-up
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Non-monotonic blow-up problems: test problems with solutions in elementary functions, numerical integration based on non-local transformations