Finite Difference and Iteration Methods for Fractional Hyperbolic Partial Differential Equations with the Neumann Condition
Joint Authors
Dal, Fadime
Ashyralyev, Allaberen
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-06-28
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
The numerical and analytic solutions of the mixed problem for multidimensional fractional hyperbolic partial differential equations with the Neumann condition are presented.
The stable difference scheme for the numerical solution of the mixed problem for the multidimensional fractional hyperbolic equation with the Neumann condition is presented.
Stability estimates for the solution of this difference scheme and for the first- and second-order difference derivatives are obtained.
A procedure of modified Gauss elimination method is used for solving this difference scheme in the case of one-dimensional fractional hyperbolic partial differential equations.
He's variational iteration method is applied.
The comparison of these methods is presented.
American Psychological Association (APA)
Ashyralyev, Allaberen& Dal, Fadime. 2012. Finite Difference and Iteration Methods for Fractional Hyperbolic Partial Differential Equations with the Neumann Condition. Discrete Dynamics in Nature and Society،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-471980
Modern Language Association (MLA)
Ashyralyev, Allaberen& Dal, Fadime. Finite Difference and Iteration Methods for Fractional Hyperbolic Partial Differential Equations with the Neumann Condition. Discrete Dynamics in Nature and Society No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-471980
American Medical Association (AMA)
Ashyralyev, Allaberen& Dal, Fadime. Finite Difference and Iteration Methods for Fractional Hyperbolic Partial Differential Equations with the Neumann Condition. Discrete Dynamics in Nature and Society. 2012. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-471980
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-471980