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Learning about Differential Equations from Their Symmetries
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| Organization: | University of Colorado, Boulder |
| Department: | Department of Applied Mathematics |
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Introduction; Reductions of Differential Equations: Scaling Symmetries; Application of MathSym to Analyzing an Ordinary Differential Equation; Application of MathSym to Analyzing a Partial Differential Equation; Closing Comments; Input Files; Acknowledgments; References; Additional Material
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Symmetries form the basis of the packages DSolve and PDSolve1. A knowledge of symmetries facilitates the understanding and analysis of solutions of differential equations and an understanding of the techniques used to solve the equations. This article introduces a package, MathSym, that assists in the computation of symmetries. MathSym's flexibility and utility are illustrated through four examples, two from ordinary differential equations and two from partial differential equations.
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http://www.mathematica-journal.com/issue/v9i2/contents/DiffEqSymmetries/DiffEqSymmetries.nb
http://www.mathematica-journal.com/issue/v9i2/contents/DiffEqSymmetries/DiffEqSymmetries_1.html
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