Algorithm of Determining equations of infinitesimals for PDE of order one, two, and three using SageMath
Downloads
Abstract
Algorithm in Computer algebra system is developed for open-source software Sage Math to determine the Lie
group infinitesimal transformation of PDE of order one, two, and three in one dependent variable u and two
independent variables x and t. The application of algorithm is illustrated through examples. The advantage of the
present algorithm is that it gives the set of determining equations directly by giving inputs as differential equation
also the algorithm is universal as SageMath is a free open-source mathematics software system licensed under
the GPL. The algorithm is very useful for researchers working with linear/nonlinear PDE using Lie symmetry
method and SageMath software.
Keywords:
PDE, Lie symmetry, infinitesimals.Mathematics Subject Classification:
Mathematics- Pages: 295-301
- Date Published: 01-01-2021
- Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)
Daniel J. Arigo, Symmetry Analysis of Differential Equations An Introduction, John Wiley and Sons, 2015.
G.W. Bluman, S.Kumei, Symmetry and Differential equations,Applied Mathematcal Sciences, Volume 81.
Peter E. Hydon, Symmetry Methods for Differential Equations,Cambrige University Press, 2005.
Razvan A.Mezei, An Introduction to SAGE Programming with Application to SAGE Interacts for Numerical Methods,John Wiley and Sons,2016.
Ted Kosan, Sage for Newbies, v1.23- 02/17/08.
R. Seshadri, T.Y. Na, Group Invariance in Engineering Boundary Value Problems, Springer 1985.
Metrics
Published
How to Cite
Issue
Section
License
Copyright (c) 2021 MJM
This work is licensed under a Creative Commons Attribution 4.0 International License.
