Lie Symmetries and Partial Differential Equations(PDEs)

Authors

  • Samar kadhum Al-Nassar Department of Mathematics\ College of Education for pure sciences University of Thi-Qar

Keywords:

Lie symmetries, the group of transformations, the infinitesimals generator, partial differential equations, invariant.

Abstract

There are many well-known techniques for obtaining exact solutions for differential equations, but many of them are simply special cases of a few powerful symmetry methods. Lie symmetry methods are techniques for finding exact solutions of a wide variety of differential equations. In this paper, we discuss the use of Lie symmetries on PDEs of order two in two independent variables and show how they can be used to transform the governing equation into  another equation with one less independent variable. In addition, for our case study we consider the PDE(the bond-pricing equation) and solve the equation using Lie symmetry methods.

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Published

2019-04-22

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Section

Articles