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A numerical approximation to some specific nonlinear differential equations using magnus series expansion method
Journal: NEW TRENDS IN MATHEMATICAL SCIENCES (Vol.4, No. 1)Publication Date: 2016-01-01
Authors : Sure Kome; Aytekin ERYILMAZ; Mehmet Tarık ATAY;
Page : 125-129
Keywords : Magnus Expansion Method lienard equation isothermal gas spheres equation geometric integration initial value problems.;
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Abstract
In this paper, we investigate the effect of Magnus Expansion Method which is based on Lie groups and Lie algebras on some specific nonlinear differential equations which are Li'enard and Isothermal Gas Spheres Equation. Moreover, we obtain the numerical results and then we present approximate, exact values and absolute error norms in detail.
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Last modified: 2016-10-30 05:08:39