Phase Fitted And Amplification Fitted Of Runge-Kutta-Fehlberg Method Of Order 4(5) For Solving Oscillatory Problems Article Swipe
Mohammed Salih
,
Fudziah Ismail
,
Norazak Senu
·
YOU?
·
· 2020
· Open Access
·
· DOI: https://doi.org/10.21123/bsj.2020.17.2(si).0689
YOU?
·
· 2020
· Open Access
·
· DOI: https://doi.org/10.21123/bsj.2020.17.2(si).0689
In this paper, the proposed phase fitted and amplification fitted of the Runge-Kutta-Fehlberg method were derived on the basis of existing method of 4(5) order to solve ordinary differential equations with oscillatory solutions. The recent method has null phase-lag and zero dissipation properties. The phase-lag or dispersion error is the angle between the real solution and the approximate solution. While the dissipation is the distance of the numerical solution from the basic periodic solution. Many of problems are tested over a long interval, and the numerical results have shown that the present method is more precise than the 4(5) Runge-Kutta-Fehlberg method.
Related Topics
Concepts
Runge–Kutta methods
Mathematics
Dissipation
Dispersion (optics)
Ordinary differential equation
Phase (matter)
Lag
Mathematical analysis
Phase lag
Interval (graph theory)
Applied mathematics
Differential equation
Physics
Computer science
Thermodynamics
Optics
Combinatorics
Quantum mechanics
Computer network
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.21123/bsj.2020.17.2(si).0689
- https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/download/4024/3191
- OA Status
- gold
- Cited By
- 4
- References
- 6
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W3037441955
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W3037441955Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.21123/bsj.2020.17.2(si).0689Digital Object Identifier
- Title
-
Phase Fitted And Amplification Fitted Of Runge-Kutta-Fehlberg Method Of Order 4(5) For Solving Oscillatory ProblemsWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2020Year of publication
- Publication date
-
2020-06-23Full publication date if available
- Authors
-
Mohammed Salih, Fudziah Ismail, Norazak SenuList of authors in order
- Landing page
-
https://doi.org/10.21123/bsj.2020.17.2(si).0689Publisher landing page
- PDF URL
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https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/download/4024/3191Direct link to full text PDF
- Open access
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YesWhether a free full text is available
- OA status
-
goldOpen access status per OpenAlex
- OA URL
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https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/download/4024/3191Direct OA link when available
- Concepts
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Runge–Kutta methods, Mathematics, Dissipation, Dispersion (optics), Ordinary differential equation, Phase (matter), Lag, Mathematical analysis, Phase lag, Interval (graph theory), Applied mathematics, Differential equation, Physics, Computer science, Thermodynamics, Optics, Combinatorics, Quantum mechanics, Computer networkTop concepts (fields/topics) attached by OpenAlex
- Cited by
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4Total citation count in OpenAlex
- Citations by year (recent)
-
2023: 1, 2022: 1, 2021: 2Per-year citation counts (last 5 years)
- References (count)
-
6Number of works referenced by this work
- Related works (count)
-
10Other works algorithmically related by OpenAlex
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| referenced_works | https://openalex.org/W2556467690, https://openalex.org/W1983494768, https://openalex.org/W2527018133, https://openalex.org/W4292117544, https://openalex.org/W2333067830, https://openalex.org/W2781991383 |
| referenced_works_count | 6 |
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