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Block hybrid method with trigonometric-fitting for solving oscillatory problems
Sufia Zulfa Ahmad1, Yusuf Dauda Jikantoro2, Norazak Senu3, Fudziah Ismail4, Yusuf Dauda Jikantoro5.
In this paper, we develop algebraic order conditions for two-point block hybrid method up to order five using the approach
of B-series. Based on the order conditions, we derive fifth order two-point block explicit hybrid method for solving
special second order ordinary differential equations (ODEs), where the existing explicit hybrid method of order five is
used to be the method at the first point. The method is then trigonometrically fitted so that it can be suitable for solving
highly oscillatory problems arising from special second order ODEs. The new trigonometrically-fitted block method is
tested using a set of oscillatory problems over a very large interval. Numerical results clearly showed the superiority
of the method in terms of accuracy and execution time compared to other existing methods in the scientific literature.
Affiliation:
- Universiti Putra Malaysia, Malaysia
- Universiti Putra Malaysia, Malaysia
- Universiti Putra Malaysia, Malaysia
- Universiti Putra Malaysia, Malaysia
- Ibrahim Badamasi Babangida University, Nigeria
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Indexed by |
MyJurnal (2021) |
H-Index
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6 |
Immediacy Index
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0.000 |
Rank |
0 |
Indexed by |
Web of Science (SCIE - Science Citation Index Expanded) |
Impact Factor
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JCR (1.009) |
Rank |
Q4 (Multidisciplinary Sciences) |
Additional Information |
JCI (0.15) |
Indexed by |
Scopus 2020 |
Impact Factor
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CiteScore (1.4) |
Rank |
Q2 (Multidisciplinary) |
Additional Information |
SJR (0.251) |
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