V Treumova, DA Lyakhov, DL Michels - arXiv preprint arXiv:2401.17012, 2024 - arxiv.org
This paper belongs to a group of work in the intersection of symbolic computation and group analysis aiming for the symbolic analysis of differential equations. The goal is to extract …
A Gainetdinova - Vestnik Udmurtskogo Universiteta. Matematika …, 2018 - mathnet.ru
AA Gainetdinova, “Integration of systems of ordinary differential equations with a small parameter which admit approximate Lie algebras”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp …
We propose an algorithm for integrating 𝑛-th order ordinary differential equations (ODE) admitting 𝑛-dimensional Lie algebras of operators. The algorithm is based on invariant …
АА Гайнетдинова - Вестник Удмуртского университета. Математика …, 2018 - mathnet.ru
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ВМ Бойко - Дис.... док. фiз.-мат. наук, Iнституту математики НАН …, 2018 - imath.kiev.ua
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We discuss an algorithm for integrating systems of two second-order ordinary differential equations (ODE) with a small parameter that admit approximate Lie algebras with four …
M Aripov, O Narmanov - Montes Taurus Journal of Pure and …, 2021 - mtjpamjournal.com
The symmetry group of a differential equation is the group of transformations which transform solutions of the differential equation to solutions. For systems of partial differential …