University of Tabriz Computational Methods for Differential Equations 2345-3982 12 3 2024 05 01 Numerical solution of Burgers' equation with nonlocal boundary condition: Use of Keller-Box scheme 425 437 17162 10.22034/cmde.2023.54380.2271 EN Amirreza Azad School of Mechanical Engineering, College of Engineering, University of Tehran, P.O. Box 11155-4563, Tehran, Iran. Department of Mechanical and Industrial Engineering, University of Toronto, Toronto, ON, M5S 3G8, Canada. Ehsan Yaghoubi School of Mechanical Engineering, College of Engineering, University of Tehran, P.O. Box 11155-4563, Tehran, Iran. Azadeh Jafari School of Mechanical Engineering, College of Engineering, University of Tehran, P.O. Box 11155-4563, Tehran, Iran. Journal Article 2022 12 06 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. https://cmde.tabrizu.ac.ir/article_17162_17cc32965f92b1bb8c5bfac4f6e1e19a.pdf