Symbolic Implementation of Preliminary Group Classiffication for Ordinary Differential Equations

K. S. Govinder

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

Abstract: We apply the method of preliminary group classification to ordinary differential equations of the form y(n) = E(x, y, y′, …, y(n−1), fi(x), i = 0, …, m. We show how this method can be implemented via the popular symmetry analysis package PROGRAM LIE provided that the package is supplemented with a small file. We then apply this method to an extension of the generalised Emden‐Fowler equation given by y′′ = ∑i=25fixyi.

Date: 2013
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https://doi.org/10.1155/2013/976271

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:976271

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