QA386 : solutions for a class of differential equations by Chebyshev-Legendre pseudo-spectral method
Thesis > Central Library of Shahrood University > Mathematical Sciences > MSc > 2016
Authors:
Abstarct: Many problems arising in the field of sciences and engineering
can be modeled by differential equations which because of the lack of
appropriate mathematical methods, most of the analytical solutions are challenging to acquire. Therefore, approximation and numerical techniques should be used.
In this thesis, we apply Chebyshev-Legendre collocation method for
solving Burgers-Fisher
and Viscous-Burgers equations which are partial differential and system of
linear differential equations respectively.
This technique is used to convert the problems
to the solution of linear or nonlinear algebraic
equations via applying Chebyshev and Legendre functions
with collocation points. We compare these solutions with exact
results and show that it is accurate.
Keywords:
#Collocation Method #Chebyshev functions #Legendre functions #Partial Differential Equations #Burgers-Fisher Equations #Viscous-Burgers Equations Link
Keeping place: Central Library of Shahrood University
Visitor:
Keeping place: Central Library of Shahrood University
Visitor: