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Numerical Solutions for the Time and Space Fractional Nonlinear Partial Differential Equations
Joint Authors
Gepreel, Khaled A.
Nofal, Taher A.
Alotaibi, Fawziah M.
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-21
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We implement relatively analytical techniques, the homotopy perturbation method, and variational iteration method to find the approximate solutions for time and space fractional Benjamin-Bona Mahony equation.
The fractional derivatives are described in the Caputo sense.
These methods are used in applied mathematics to obtain the analytic approximate solutions for the nonlinear Bejamin-Bona Mahoney (BBM) partial fractional differential equation.
We compare between the approximate solutions obtained by these methods.
Also, we present the figures to compare between the approximate solutions.
Also, we use the fractional complex transformation to convert nonlinear partial fractional differential equations to nonlinear ordinary differential equations.
We use the improved G'/G-expansion function method to find exact solutions of nonlinear fractional BBM equation.
American Psychological Association (APA)
Gepreel, Khaled A.& Nofal, Taher A.& Alotaibi, Fawziah M.. 2013. Numerical Solutions for the Time and Space Fractional Nonlinear Partial Differential Equations. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-475098
Modern Language Association (MLA)
Gepreel, Khaled A.…[et al.]. Numerical Solutions for the Time and Space Fractional Nonlinear Partial Differential Equations. Journal of Applied Mathematics No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-475098
American Medical Association (AMA)
Gepreel, Khaled A.& Nofal, Taher A.& Alotaibi, Fawziah M.. Numerical Solutions for the Time and Space Fractional Nonlinear Partial Differential Equations. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-475098
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-475098