Analytical Solution for the Time Fractional BBM-Burger Equation by Using Modified Residual Power Series Method
Joint Authors
Yong, Longquan
Wei, Zhirou
Xiao, Yuelei
Zhang, Jianke
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-10-03
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
In this study, a generalized Taylor series formula together with residual error function, which is named the residual power series method (RPSM), is used for finding the series solution of the time fractional Benjamin-Bona-Mahony-Burger (BBM-Burger) equation.
The BBM-Burger equation is useful in describing approximately the unidirectional propagation of long waves in certain nonlinear dispersive systems.
The numerical solution of the BBM-Burger equation is calculated by Maple.
The numerical results show that the RPSM is reliable and powerful in solving the numerical solutions of the BBM-Burger equation compared with the exact solutions as well as the solutions obtained by homotopy analysis transform method through different graphical representations and tables.
American Psychological Association (APA)
Zhang, Jianke& Wei, Zhirou& Yong, Longquan& Xiao, Yuelei. 2018. Analytical Solution for the Time Fractional BBM-Burger Equation by Using Modified Residual Power Series Method. Complexity،Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1133424
Modern Language Association (MLA)
Zhang, Jianke…[et al.]. Analytical Solution for the Time Fractional BBM-Burger Equation by Using Modified Residual Power Series Method. Complexity No. 2018 (2018), pp.1-11.
https://search.emarefa.net/detail/BIM-1133424
American Medical Association (AMA)
Zhang, Jianke& Wei, Zhirou& Yong, Longquan& Xiao, Yuelei. Analytical Solution for the Time Fractional BBM-Burger Equation by Using Modified Residual Power Series Method. Complexity. 2018. Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1133424
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1133424