Explicit Finite Difference Methods for the Delay Pseudoparabolic Equations
Joint Authors
Amiraliyev, Gabil M.
Amirali, I.
Cimen, E.
Çakır, Musa
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-04
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
Finite difference technique is applied to numerical solution of the initial-boundary value problem for the semilinear delay Sobolev or pseudoparabolic equation.
By the method of integral identities two-level difference scheme is constructed.
For the time integration the implicit rule is being used.
Based on the method of energy estimates the fully discrete scheme is shown to be absolutely stable and convergent of order two in space and of order one in time.
The error estimates are obtained in the discrete norm.
Some numerical results confirming the expected behavior of the method are shown.
American Psychological Association (APA)
Amirali, I.& Amiraliyev, Gabil M.& Çakır, Musa& Cimen, E.. 2014. Explicit Finite Difference Methods for the Delay Pseudoparabolic Equations. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1049850
Modern Language Association (MLA)
Amirali, I.…[et al.]. Explicit Finite Difference Methods for the Delay Pseudoparabolic Equations. The Scientific World Journal No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-1049850
American Medical Association (AMA)
Amirali, I.& Amiraliyev, Gabil M.& Çakır, Musa& Cimen, E.. Explicit Finite Difference Methods for the Delay Pseudoparabolic Equations. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1049850
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1049850