Construction of Fractional Power Series Solutions to Fractional Boussinesq Equations Using Residual Power Series Method
Joint Authors
Gao, Yixian
Xu, Fei
Yang, Xue
Zhang, He
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-05-25
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
This paper is aimed at constructing fractional power series (FPS) solutions of time-space fractional Boussinesq equations using residual power series method (RPSM).
Firstly we generalize the idea of RPSM to solve any-order time-space fractional differential equations in high-dimensional space with initial value problems in R n .
Using RPSM, we can obtain FPS solutions of fourth-, sixth-, and 2 n th-order time-space fractional Boussinesq equations in R and fourth-order time-space fractional Boussinesq equations in R 2 and R n .
Finally, by numerical experiments, it is shown that RPSM is a simple, effective, and powerful method for seeking approximate analytic solutions of fractional differential equations.
American Psychological Association (APA)
Xu, Fei& Gao, Yixian& Yang, Xue& Zhang, He. 2016. Construction of Fractional Power Series Solutions to Fractional Boussinesq Equations Using Residual Power Series Method. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-15.
https://search.emarefa.net/detail/BIM-1112330
Modern Language Association (MLA)
Xu, Fei…[et al.]. Construction of Fractional Power Series Solutions to Fractional Boussinesq Equations Using Residual Power Series Method. Mathematical Problems in Engineering No. 2016 (2016), pp.1-15.
https://search.emarefa.net/detail/BIM-1112330
American Medical Association (AMA)
Xu, Fei& Gao, Yixian& Yang, Xue& Zhang, He. Construction of Fractional Power Series Solutions to Fractional Boussinesq Equations Using Residual Power Series Method. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-15.
https://search.emarefa.net/detail/BIM-1112330
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1112330