Numerical Solutions of Coupled Systems of Fractional Order Partial Differential Equations
Joint Authors
Source
Advances in Mathematical Physics
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-09-20
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We develop a numerical method by using operational matrices of fractional order integrations and differentiations to obtain approximate solutions to a class of coupled systems of fractional order partial differential equations (FPDEs).
We use shifted Legendre polynomials in two variables.
With the help of the aforesaid matrices, we convert the system under consideration to a system of easily solvable algebraic equation of Sylvester type.
During this process, we need no discretization of the data.
We also provide error analysis and some test problems to demonstrate the established technique.
American Psychological Association (APA)
Li, Yongjin& Shah, Kamal. 2017. Numerical Solutions of Coupled Systems of Fractional Order Partial Differential Equations. Advances in Mathematical Physics،Vol. 2017, no. 2017, pp.1-14.
https://search.emarefa.net/detail/BIM-1123057
Modern Language Association (MLA)
Li, Yongjin& Shah, Kamal. Numerical Solutions of Coupled Systems of Fractional Order Partial Differential Equations. Advances in Mathematical Physics No. 2017 (2017), pp.1-14.
https://search.emarefa.net/detail/BIM-1123057
American Medical Association (AMA)
Li, Yongjin& Shah, Kamal. Numerical Solutions of Coupled Systems of Fractional Order Partial Differential Equations. Advances in Mathematical Physics. 2017. Vol. 2017, no. 2017, pp.1-14.
https://search.emarefa.net/detail/BIM-1123057
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1123057