An Operator-Difference Method for Telegraph Equations Arising in Transmission Lines
Author
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-10-12
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
A second-order linear hyperbolic equation with time-derivative term subject to appropriate initial and Dirichlet boundary conditions is considered.
Second-order unconditionally absolutely stable difference scheme in (Ashyralyev et al.
2011) generated by integer powers of space operator is modified for the equation.
This difference scheme is unconditionally absolutely stable.
Stability estimates for the solution of the difference scheme are presented.
Various numerical examples are tested for showing the usefulness of the difference scheme.
Numerical solutions of the examples are provided using modified unconditionally absolutely stable second-order operator-difference scheme.
Finally, the obtained results are discussed by comparing with other existing numerical solutions.
The modified difference scheme is applied to analyze a real engineering problem related with a lossy power transmission line.
American Psychological Association (APA)
Koksal, Mehmet Emir. 2011. An Operator-Difference Method for Telegraph Equations Arising in Transmission Lines. Discrete Dynamics in Nature and Society،Vol. 2011, no. 2011, pp.1-17.
https://search.emarefa.net/detail/BIM-480831
Modern Language Association (MLA)
Koksal, Mehmet Emir. An Operator-Difference Method for Telegraph Equations Arising in Transmission Lines. Discrete Dynamics in Nature and Society No. 2011 (2011), pp.1-17.
https://search.emarefa.net/detail/BIM-480831
American Medical Association (AMA)
Koksal, Mehmet Emir. An Operator-Difference Method for Telegraph Equations Arising in Transmission Lines. Discrete Dynamics in Nature and Society. 2011. Vol. 2011, no. 2011, pp.1-17.
https://search.emarefa.net/detail/BIM-480831
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-480831