Approximate Analytical Solution of One-Dimensional Beam Equations by Using Time-Fractional Reduced Differential Transform Method
Joint Authors
Yadeta, Dessalegn Mekonnen
Gizaw, Ademe Kebede
Mussa, Yesuf Obsie
Source
Journal of Applied Mathematics
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-12-22
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
In this paper, a recent and reliable method, named the fractional reduced differential transform method (FRDTM) is employed to solve one-dimensional time-fractional Beam equation subject to the appropriate initial conditions.
This method provides the solutions very accurately and efficiently in convergent series form with easily computable coefficients.
The efficacy and accuracy of this method are verified by means of three illustrative examples which indicate that the present method is very effective, simple, and easy to implement.
Finally, it is observed that the FRDTM is the prevailing and convergent method for the solutions of linear and nonlinear fractional-order partial differential equations.
American Psychological Association (APA)
Yadeta, Dessalegn Mekonnen& Gizaw, Ademe Kebede& Mussa, Yesuf Obsie. 2020. Approximate Analytical Solution of One-Dimensional Beam Equations by Using Time-Fractional Reduced Differential Transform Method. Journal of Applied Mathematics،Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1174582
Modern Language Association (MLA)
Yadeta, Dessalegn Mekonnen…[et al.]. Approximate Analytical Solution of One-Dimensional Beam Equations by Using Time-Fractional Reduced Differential Transform Method. Journal of Applied Mathematics No. 2020 (2020), pp.1-13.
https://search.emarefa.net/detail/BIM-1174582
American Medical Association (AMA)
Yadeta, Dessalegn Mekonnen& Gizaw, Ademe Kebede& Mussa, Yesuf Obsie. Approximate Analytical Solution of One-Dimensional Beam Equations by Using Time-Fractional Reduced Differential Transform Method. Journal of Applied Mathematics. 2020. Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1174582
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1174582