Semi-implicit two-step hybrid method with FSAL property for solving second-order ordinary differential equations

Yahya, Nur Azila

International Journal of Advanced and Applied Sciences

Int. j. adv. appl. sci.

EISSN: 2313-3724

Print ISSN: 2313-626X

Volume 4, Issue 6 (June 2017), Pages: 169-174

Title: Semi-implicit two-step hybrid method with FSAL property for solving second-order ordinary differential equations

Author(s): Nur Azila Yahya *

Affiliation(s):

Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA, Perak Branch, Tapah Campus, 35400 Tapah Road, Perak, Malaysia

https://doi.org/10.21833/ijaas.2017.06.024

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Abstract:

Two semi-implicit two-step hybrid methods of order five and six designed using First Same as Last (FSAL) property are developed for solving second-order ordinary differential equation. The stability analysis is determined by the interval of periodicity and the interval of absolute stability. The numerical results carried out show that the new method has smaller maximum error than existing method of similar type proposed in scientific literature, using constant step-size.

This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

Keywords: Hybrid method, Oscillatory solution, Interval periodicity, Interval of absolute stability

Article History: Received 3 March 2017, Received in revised form 16 May 2017, Accepted 27 May 2017

Digital Object Identifier:

https://doi.org/10.21833/ijaas.2017.06.024

Citation:

Yahya NA (2017). Semi-implicit two-step hybrid method with FSAL property for solving second-order ordinary differential equations. International Journal of Advanced and Applied Sciences, 4(6): 169-174

http://www.science-gate.com/IJAAS/V4I6/Yahya.html

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