Solving Second Order Ordinary Differential Equations with Maximal Symmetry Group

Computing ◽  
1999 ◽  
Vol 62 (1) ◽  
pp. 1-10 ◽  
Author(s):  
F. Schwarz
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Symmetry Group ◽  
Second Order ◽  
Maximal Symmetry

scholarly journals New Solutions of the Heat Equation and Application to Thin Plate Heat Conduction

2020 ◽  
Vol Volume 14 ◽  
Keyword(s):  
Heat Conduction ◽  
Differential Equations ◽  
Heat Equation ◽  
Ordinary Differential Equations ◽  
Symmetry Group ◽  
Thin Plate ◽  
Lie Symmetry ◽  
Second Order ◽  
Group Generator ◽  
Plate Heat

Using a Lie symmetry group generator and a generalised form of Euler’s formula for solving second order ordinary differential equations, we determine new symmetries for the heat equation, leading to new solutions. As an application, we test a formula resulting from this approach on thin plate heat conduction

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