Solution of Fractional Partial Differential Equations in Fluid Mechanics by Extension of Some Iterative Method
Author
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-25
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
An extension of the so-called new iterative method (NIM) has been used to handle linear and nonlinear fractional partial differential equations.
The main property of the method lies in its flexibility and ability to solve nonlinear equations accurately and conveniently.
Therefore, a general framework of the NIM is presented for analytical treatment of fractional partial differential equations in fluid mechanics.
The fractional derivatives are described in the Caputo sense.
Numerical illustrations that include the fractional wave equation, fractional Burgers equation, fractional KdV equation, fractional Klein-Gordon equation, and fractional Boussinesq-like equation are investigated to show the pertinent features of the technique.
Comparison of the results obtained by the NIM with those obtained by both Adomian decomposition method (ADM) and the variational iteration method (VIM) reveals that the NIM is very effective and convenient.
The basic idea described in this paper is expected to be further employed to solve other similar linear and nonlinear problems in fractional calculus.
American Psychological Association (APA)
Hemeda, A. A.. 2013. Solution of Fractional Partial Differential Equations in Fluid Mechanics by Extension of Some Iterative Method. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-492995
Modern Language Association (MLA)
Hemeda, A. A.. Solution of Fractional Partial Differential Equations in Fluid Mechanics by Extension of Some Iterative Method. Abstract and Applied Analysis No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-492995
American Medical Association (AMA)
Hemeda, A. A.. Solution of Fractional Partial Differential Equations in Fluid Mechanics by Extension of Some Iterative Method. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-492995
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-492995