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

Document Type : Research Paper

Authors

1 School of Mechanical Engineering, College of Engineering, University of Tehran, P.O. Box 11155-4563, Tehran, Iran.

2 Department of Mechanical and Industrial Engineering, University of Toronto, Toronto, ON, M5S 3G8, Canada.

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

Main Subjects

References

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Computational Methods for Differential Equations
Volume 12, Issue 3
July 2024
Pages 425-437

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History

  • Receive Date: 06 December 2022
  • Revise Date: 14 November 2023
  • Accept Date: 27 November 2023

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