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Event SMS Weekly Talk
Date 02/12/2019
Time 14:00
Venue Main Hall
Title Exact Solution of PDE’s using Lie Symmetry Method.
Speaker Ali Raza Bhatti
Abstract

 We discuss the method of obtaining exact solutions of partial differential equations using Lie symmetry analysis of the pde. The one parameter Lie group generator (also known as operator) is extended or prolonged to match the order of highest derivative in the PDE. Using Lie symmetry criterion, an often over determined system of line partial differential equations, known as determining equations is obtained. These are solved to obtain infinitesimal generators that in turn yield similarity transformations reducing the PDE in lesser independent variables. The procedure is demonstrated by solving the one dimensional heat equation using this ap

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Attachment (if any) Feb_12.pdf