Solving the Telegraph and Oscillatory Differential Equations by a Block Hybrid Trigonometrically Fitted Algorithm
Joint Authors
Source
International Journal of Differential Equations
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-11-24
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
We propose a block hybrid trigonometrically fitted (BHT) method, whose coefficients are functions of the frequency and the step-size for directly solving general second-order initial value problems (IVPs), including systems arising from the semidiscretization of hyperbolic Partial Differential Equations (PDEs), such as the Telegraph equation.
The BHT is formulated from eight discrete hybrid formulas which are provided by a continuous two-step hybrid trigonometrically fitted method with two off-grid points.
The BHT is implemented in a block-by-block fashion; in this way, the method does not suffer from the disadvantages of requiring starting values and predictors which are inherent in predictor-corrector methods.
The stability property of the BHT is discussed and the performance of the method is demonstrated on some numerical examples to show accuracy and efficiency advantages.
American Psychological Association (APA)
Ngwane, Fidele& Jator, S. N.. 2015. Solving the Telegraph and Oscillatory Differential Equations by a Block Hybrid Trigonometrically Fitted Algorithm. International Journal of Differential Equations،Vol. 2015, no. 2015, pp.1-15.
https://search.emarefa.net/detail/BIM-1065504
Modern Language Association (MLA)
Ngwane, Fidele& Jator, S. N.. Solving the Telegraph and Oscillatory Differential Equations by a Block Hybrid Trigonometrically Fitted Algorithm. International Journal of Differential Equations No. 2015 (2015), pp.1-15.
https://search.emarefa.net/detail/BIM-1065504
American Medical Association (AMA)
Ngwane, Fidele& Jator, S. N.. Solving the Telegraph and Oscillatory Differential Equations by a Block Hybrid Trigonometrically Fitted Algorithm. International Journal of Differential Equations. 2015. Vol. 2015, no. 2015, pp.1-15.
https://search.emarefa.net/detail/BIM-1065504
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1065504