ON SOME NUMERICAL INTEGRATION CURVES FOR PDE IN NEIGHBORHOOD OF "BUTTERFLY" CATASTROPHE POINT

DOI10.15826/UMJ.2016.2.011zbMath1396.34039OpenAlexW2560317065MaRDI QIDQ4581440

O. Yu. Khachay, Pavel A. Nosov

Publication date: 17 August 2018

Published in: Ural mathematical journal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/umj26

zbMATH Keywords

numerical integrationmatched asymptotic expansionsbutterfly catastrophenonlinear ODE and PDE

Mathematics Subject Classification ID

Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (2)

Asymptotic problem for second-order ordinary differential equation with nonlinearity corresponding to a butterfly catastrophe ⋮ Asymptotics of a solution of a three-dimensional nonlinear wave equation near a butterfly catastrophe point

Cites Work

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• Asymptotic expansion of the solution of the initial value problem for a singularly perturbed ordinary differential equation
• On two special functions related to fold singularities
• The asymptotic behaviour of the solution to a system of differential equations with a small parameter and singular initial point
• Birth of step-like contrast structures connected with a cusp catastrophe

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