On the complete solution of \(\epsilon y = y^ 3\)

DOI10.1007/BF02192942zbMath0793.34041OpenAlexW1970383237MaRDI QIDQ1321473

K.-D. Reinsch, P. N. Müller, Roland Bulirsch

Publication date: 8 August 1994

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02192942

zbMATH Keywords

matched asymptotic expansionsapproximate solutionJacobian elliptic functionsunique solutionnonlinear boundary-value problemsboundary-layer behaviorsingular-perturbation problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Theoretical approximation of solutions to ordinary differential equations (34A45) Singular perturbations for ordinary differential equations (34E15)

Cites Work

• On the solution of \(\epsilon y=y^ 3\)
• Numerical calculation of elliptic integrals and elliptic functions
• Unnamed Item