Title of article :
Numerical solution of Burgers’ equation with nonlocal boundary condition: Use of Keller-Box scheme
Author/Authors :
Azad ، Amirreza School of Mechanical Engineering, College of Engineering - University of Tehran , Yaghoubi ، Ehsan School of Mechanical Engineering, College of Engineering - University of Tehran , Jafari ، Azadeh School of Mechanical Engineering, College of Engineering - University of Tehran
Abstract :
In this paper, we transform the given nonlocal boundary condition problem into a manageable local equation. By introducing an additional transformation of the variables, we can simplify this equation into conformable Burgers’ equation. Thus, the Keller Box method is used as a numerical scheme to solve the equation. A comparison is made between numerical results and the analytic solution to validate the results of our proposed method.
Keywords :
Nonlocal boundary condition , Burgers’ Equation , Keller , Box scheme
Journal title :
Computational Methods for Differential Equations
Journal title :
Computational Methods for Differential Equations
