Symmetries and invariant solutions of the one-dimensional Boltzmann equation for inelastic collisions

2016 ◽  
Vol 186 (2) ◽  
pp. 183-191 ◽  
Author(s):  
O. V. Ilyin
Keyword(s):  
Boltzmann Equation ◽  
Inelastic Collisions ◽  
Invariant Solutions ◽  
One Dimensional ◽  
The One

OPTIMAL SYSTEMS AND GROUP INVARIANT SOLUTIONS FOR A MODEL ARISING IN FINANCIAL MATHEMATICS

2009 ◽  
Vol 14 (4) ◽  
pp. 495-502 ◽  
Author(s):  
Bienvenue Feugang Nteumagne ◽  
Raseelo J. Moitsheki
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Financial Mathematics ◽  
Invariant Solutions ◽  
Pricing Model ◽  
One Dimensional ◽  
Group Invariant ◽  
Optimal System Of Subalgebras ◽  
Group Invariant Solutions ◽  
The One

We consider a bond‐pricing model described in terms of partial differential equations (PDEs). Classical Lie point symmetry analysis of the considered PDEs resulted in a number of point symmetries being admitted. The one‐dimensional optimal system of subalgebras is constructed. Following the symmetry reductions, we determine the group‐invariant solutions.

scholarly journals New Symmetries of Black-Scholes Equation

2021 ◽  
Vol 20 ◽  
pp. 76-87
Author(s):  
Tshidiso Masebe
Keyword(s):  
Differential Equations ◽  
Second Order ◽  
Linear Differential Equations ◽  
Lie Point Symmetries ◽  
Invariant Solutions ◽  
One Dimensional ◽  
Black Scholes ◽  
Linear Differential ◽  
The One ◽  
Ordinary Linear Differential Equations

Lie Point symmetries and Euler’s formula for solving second order ordinary linear differential equations are used to determine symmetries for the one-dimensional Black- Scholes equation. One symmetry is utilized to determine an invariant solutions

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