A method for the numerical solution of the Painlevé equations

DOI10.1134/S0965542513050023zbMath1299.34290MaRDI QIDQ5413054

A. A. Abramov, L. F. Yukhno

Publication date: 28 April 2014

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

singularity pointpole of solutionordinary differential equations Painlevé I--VIprogressive exclusion of singularity method

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Numerical methods for ordinary differential equations (65L99)

Related Items (3)

Open problems for Painlevé equations ⋮ On a Novel Resonant Ermakov-NLS System: Painlevé Reduction ⋮ Painlevé IV: A numerical study of the fundamental domain and beyond

Cites Work

• Unnamed Item
• Numerical solution of the Cauchy problem for Painlevé III
• Numerical solution of the Painlevé IV equation
• Numerical solution of the Painlevé V equation
• Numerical solution of the Painlevé VI equation
• Numerical solution of the Cauchy problem for the Painlevé I and II equations

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