Lie Symmetry Techniques for Partial Differential Equations

Natalie Thamwattana

<P><SPAN>Lie symmetry methods can be useful for constructing exact solutions to differential equations. In this workshop, we will show how to determine the symmetry properties of linear and nonlinear partial differential equations, and how to exploit these properties to reduce the order of the governing equation. The workshop will focus on developing an understanding of the nuances in finding the symmetry classification of classes of differential equations. Simple Maple algorithms will be used to generate and solve determining equations. The symmetry determination package Dimsym (in Reduce) will be demonstrated. An overview of more generalised symmetry methods will also be discussed.</SPAN></P>

SR202 Social Sciences Building

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