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<p>The work is devoted to investigating an approximate solution which based on the analytical results of the inverse problem of group analysis of odd order nonlinear mathematical models and looking for subclasses of equations that have a first integral, which inherits the symmetry of the equation itself, in other words, a search is carried out for subclasses of equations that have an analog of Noetherian (or variational) symmetry. The regular algorithm used in this work is implemented and testing systems of analytical calculations by numerical methods, and it found the approximate solutions for the models are agree with the analytical solutions for these models.</p>

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Theoretical and Numerical Investigation of Nonlinear Mathematical Model with Odd order Based on Symmetries

  • 期刊论文

  • 发表日期：

    2025年6月18日

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  • Jawad Kadhim Tahir

摘要

The work is devoted to investigating an approximate solution which based on the analytical results of the inverse problem of group analysis of odd order nonlinear mathematical models and looking for subclasses of equations that have a first integral, which inherits the symmetry of the equation itself, in other words, a search is carried out for subclasses of equations that have an analog of Noetherian (or variational) symmetry. The regular algorithm used in this work is implemented and testing systems of analytical calculations by numerical methods, and it found the approximate solutions for the models are agree with the analytical solutions for these models.