An extended variational iteration method for fractional BVPs encountered in engineering applications
International Journal of Numerical Methods for Heat & Fluid Flow
ISSN: 0961-5539
Article publication date: 28 April 2023
Issue publication date: 19 May 2023
Abstract
Purpose
The purpose of this paper is to find approximate solutions for a general class of fractional order boundary value problems that arise in engineering applications.
Design/methodology/approach
A newly developed semi-analytical scheme will be applied to find approximate solutions for fractional order boundary value problems. The technique is regarded as an extension of the well-established variation iteration method, which was originally proposed for initial value problems, to cover a class of boundary value problems.
Findings
It has been demonstrated that the method yields approximations that are extremely accurate and have uniform distributions of error throughout their domain. The numerical examples confirm the method’s validity and relatively fast convergence.
Originality/value
The generalized variational iteration method that is presented in this study is a novel strategy that can handle fractional boundary value problem more effectively than the classical variational iteration method, which was designed for initial value problems.
Keywords
Acknowledgements
This study is part of the Master’s thesis of the coauthor Reem Assadi, at the American University of Sharjah, under the supervision of the corresponding author of this article, Dr S.A. Khuri. The second part of Section 2 is mainly based on that thesis.
Conflict of Interest: On behalf of all authors, the corresponding author states that there is no conflict of interest.
Data Availability: Not applicable.
Citation
Khuri, S. and Assadi, R. (2023), "An extended variational iteration method for fractional BVPs encountered in engineering applications", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 33 No. 7, pp. 2671-2681. https://doi.org/10.1108/HFF-02-2023-0073
Publisher
:Emerald Publishing Limited
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