Title of article :
A Fully Implicit Non-Standard Finite Difference Scheme for One Dimensional Burgers' Equation
Author/Authors :
Yaghoobi, Abdolrahman Department of Applied Mathematics - Saravan Branch - Islamic Azad University, Saravan , Saberi Najafi, Hashem Department of Applied Mathematics - Faculty of Mathematical Sciences - Guilan University, Rasht
Abstract :
In this paper we have studied a numerical approximation to the solution of the nonlinear
Burgers' equation. The presented scheme is obtained by using the Non-Standard Finite
Difference Method (NSFD). The use of NSFD method and its approximations play an
important role for the formation of stable numerical methods. The main advantage of
the scheme is that the algorithm is very simple and very easy to implement.
Keywords :
Difference Schemes , Burgers' Equation , Non-Standard Finite Difference
Journal title :
Journal of Applied Research on Industrial Engineering