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

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

Authors

Amirreza Azad

School of Mechanical Engineering, College of Engineering, University of Tehran, P.O. Box ۱۱۱۵۵-۴۵۶۳, Tehran, Iran.

Ehsan Yaghoubi

School of Mechanical Engineering, College of Engineering, University of Tehran, P.O. Box ۱۱۱۵۵-۴۵۶۳, Tehran, Iran.

Azadeh Jafari

School of Mechanical Engineering, College of Engineering, University of Tehran, P.O. Box ۱۱۱۵۵-۴۵۶۳, Tehran, Iran.

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لینک ثابت به این Paper:

https://civilica.com/doc/1998037

شناسه ملی سند علمی:

JR_CMDE-12-3_001

تاریخ نمایه سازی: 23 خرداد 1403

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Azad, Amirreza and Yaghoubi, Ehsan and Jafari, Azadeh,1403,Numerical solution of Burgers' equation with nonlocal boundary condition: Use of Keller-Box scheme,https://civilica.com/doc/1998037

Scientometrics

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Ranking of University of Tehran

Type of center: دانشگاه دولتی

Paper count: 106,820

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