Numerical Solution of Burgers' Equation with nonlocal boundary condition: Using the 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 study, we transform the given non-local boundary condition problem into a managable 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.

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Articles in Press, Accepted Manuscript
Available Online from 27 November 2023
  • Receive Date: 06 December 2022
  • Revise Date: 14 November 2023
  • Accept Date: 27 November 2023