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Azad, Amirreza, Yaghoubi, Ehsan, Jafari, Azadeh. (1403). Numerical solution of Burgers' equation with nonlocal boundary condition: Use of Keller-Box scheme. سامانه مدیریت نشریات علمی, 12(3), 425-437. doi: 10.22034/cmde.2023.54380.2271
Amirreza Azad; Ehsan Yaghoubi; Azadeh Jafari. "Numerical solution of Burgers' equation with nonlocal boundary condition: Use of Keller-Box scheme". سامانه مدیریت نشریات علمی, 12, 3, 1403, 425-437. doi: 10.22034/cmde.2023.54380.2271
Azad, Amirreza, Yaghoubi, Ehsan, Jafari, Azadeh. (1403). 'Numerical solution of Burgers' equation with nonlocal boundary condition: Use of Keller-Box scheme', سامانه مدیریت نشریات علمی, 12(3), pp. 425-437. doi: 10.22034/cmde.2023.54380.2271
Azad, Amirreza, Yaghoubi, Ehsan, Jafari, Azadeh. Numerical solution of Burgers' equation with nonlocal boundary condition: Use of Keller-Box scheme. سامانه مدیریت نشریات علمی, 1403; 12(3): 425-437. doi: 10.22034/cmde.2023.54380.2271

Numerical solution of Burgers' equation with nonlocal boundary condition: Use of Keller-Box scheme

Computational Methods for Differential Equations
مقاله 1، دوره 12، شماره 3، مهر 2024، صفحه 425-437    اصل مقاله (566.93 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2023.54380.2271
نویسندگان
Amirreza Azad1، 2؛ Ehsan Yaghoubi1؛ Azadeh Jafari* 1
1School of Mechanical Engineering, College of Engineering, University of Tehran, P.O. Box 11155-4563, Tehran, Iran.
2Department of Mechanical and Industrial Engineering, University of Toronto, Toronto, ON, M5S 3G8, Canada.
چکیده
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.
کلیدواژه‌ها
Nonlocal boundary condition؛ Burgers’ Equation؛ Keller-Box scheme
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