Citation
Ahmad, Sufia Zulfa and Ismail, Fudziah and Senu, Norazak
(2016)
A two-step trigonometrically fitted semi-implicit hybrid method for solving special second order oscillatory differential equation.
Malaysian Journal of Mathematical Sciences, 10 (spec. Aug.).
pp. 145-158.
ISSN 1823-8343; ESSN: 2289-750X
Abstract
In this paper, we derived a semi-implicit hybrid method (SIHM) which is a two-step method to solve special second order ordinary differential equations (ODEs). The SIHM which is three-stage and fourth-order is then trigonometrically fitted and denoted by TF-SIHM3(4). The method is constructed using trigonometrically fitted properties instead of using phase-lag and amplification properties. Numerical integration show that TF-SIHM3(4) is more accurate in term of accuracy compared to the existing explicit and implicit methods of the same order.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| Publisher: | Institute for Mathematical Research, Universiti Putra Malaysia |
| Notes: | Special issue: The 7th International Conference on Research and Education in Mathematics (ICREM7) |
| Keywords: | Semi-implicit hybrid method; Two-step methods; Oscillatory problems; Trigonometrically-fitted |
| Depositing User: | Nabilah Mustapa |
| Date Deposited: | 05 Jun 2017 09:35 |
| Last Modified: | 05 Jun 2017 09:35 |
| URI: | http://psasir.upm.edu.my/id/eprint/52363 |
| Statistic Details: | View Download Statistic |
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