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An Efficient Method for Systems of Variable Coefficient Coupled Burgers’ Equation with Time-Fractional Derivative
Joint Authors
Aminikhah, Hossein
Malekzadeh, Nasrin
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-10-10
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
A new homotopy perturbation method (NHPM) is applied to system of variable coefficient coupled Burgers' equation with time-fractional derivative.
The fractional derivatives are described in the Caputo fractional derivative sense.
The concept of new algorithm is introduced briefly, and NHPM is examined for two systems of nonlinear Burgers' equation.
In this approach, the solution is considered as a power series expansion that converges rapidly to the nonlinear problem.
The new approximate analytical procedure depends on two iteratives.
The modified algorithm provides approximate solutions in the form of convergent series with easily computable components.
Results indicate that the introduced method is promising for solving other types of systems of nonlinear fractional-order partial differential equations.
American Psychological Association (APA)
Aminikhah, Hossein& Malekzadeh, Nasrin. 2013. An Efficient Method for Systems of Variable Coefficient Coupled Burgers’ Equation with Time-Fractional Derivative. The Scientific World Journal،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1033198
Modern Language Association (MLA)
Aminikhah, Hossein& Malekzadeh, Nasrin. An Efficient Method for Systems of Variable Coefficient Coupled Burgers’ Equation with Time-Fractional Derivative. The Scientific World Journal No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-1033198
American Medical Association (AMA)
Aminikhah, Hossein& Malekzadeh, Nasrin. An Efficient Method for Systems of Variable Coefficient Coupled Burgers’ Equation with Time-Fractional Derivative. The Scientific World Journal. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1033198
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033198