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Numerical Solution of Burgers' Equation Using Discrete Symmetries
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Crank-Nicolson method is a finite difference scheme used to solve the
heat and other parabolic partial differential equations. In order to
solve the Burgers’ equation which is parabolic partial differential
equations, an invariant numerical scheme, based on Crank-Nicolson method
and discrete symmetries of Burgers’ equation, is established here. A
comparison of the proposed numerical scheme with the Crank-Nicolson
method and the exact solution is also presented. It is clearly observed
that the convergence and performance of the
modified
Crank-Nicolson
is better than that of the Crank-Nicolson method.
Title: Numerical Solution of Burgers' Equation Using Discrete Symmetries
Description:
Crank-Nicolson method is a finite difference scheme used to solve the
heat and other parabolic partial differential equations.
In order to
solve the Burgers’ equation which is parabolic partial differential
equations, an invariant numerical scheme, based on Crank-Nicolson method
and discrete symmetries of Burgers’ equation, is established here.
A
comparison of the proposed numerical scheme with the Crank-Nicolson
method and the exact solution is also presented.
It is clearly observed
that the convergence and performance of the
modified
Crank-Nicolson
is better than that of the Crank-Nicolson method.
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