Exponentially-fitted forth-order explicit modified Runge-Kutta type method for solving third-order ODEs Article Swipe
Nizam G. Ghawadri
,
Norazak Senu
,
Fudziah Ismail
,
Zuriati Ibrahim
·
YOU?
·
· 2018
· Open Access
·
· DOI: https://doi.org/10.1088/1742-6596/1132/1/012016
YOU?
·
· 2018
· Open Access
·
· DOI: https://doi.org/10.1088/1742-6596/1132/1/012016
In this paper exponentially-fitted explicit modified Runge-Kutta type method denoted as EFMRKT for solving y'''(x) = f(x, y, y') is derived. The idea presented is based on the Simos and Berghe approach which exactly integrates initial value problems whose solutions are linear combinations of the set functions ewx and e−wx with w ∈ R the principal frequency of the problem. We developed the new EFMRKT three-stage fourth-order method called EFRKTG4 for solving third-order initial value problems. The numerical results indicate that EFRKTG4 method is more efficient than existing Runge-Kutta methods.
Related Topics
Concepts
Runge–Kutta methods
Ode
Mathematics
Initial value problem
Applied mathematics
Third order
Order (exchange)
Set (abstract data type)
Value (mathematics)
Type (biology)
Ordinary differential equation
Mathematical analysis
Differential equation
Computer science
Statistics
Economics
Ecology
Theology
Philosophy
Biology
Programming language
Finance
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1088/1742-6596/1132/1/012016
- https://iopscience.iop.org/article/10.1088/1742-6596/1132/1/012016/pdf
- OA Status
- diamond
- Cited By
- 1
- References
- 13
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W2905406861
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W2905406861Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1088/1742-6596/1132/1/012016Digital Object Identifier
- Title
-
Exponentially-fitted forth-order explicit modified Runge-Kutta type method for solving third-order ODEsWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2018Year of publication
- Publication date
-
2018-11-01Full publication date if available
- Authors
-
Nizam G. Ghawadri, Norazak Senu, Fudziah Ismail, Zuriati IbrahimList of authors in order
- Landing page
-
https://doi.org/10.1088/1742-6596/1132/1/012016Publisher landing page
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https://iopscience.iop.org/article/10.1088/1742-6596/1132/1/012016/pdfDirect link to full text PDF
- Open access
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YesWhether a free full text is available
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diamondOpen access status per OpenAlex
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https://iopscience.iop.org/article/10.1088/1742-6596/1132/1/012016/pdfDirect OA link when available
- Concepts
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Runge–Kutta methods, Ode, Mathematics, Initial value problem, Applied mathematics, Third order, Order (exchange), Set (abstract data type), Value (mathematics), Type (biology), Ordinary differential equation, Mathematical analysis, Differential equation, Computer science, Statistics, Economics, Ecology, Theology, Philosophy, Biology, Programming language, FinanceTop concepts (fields/topics) attached by OpenAlex
- Cited by
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1Total citation count in OpenAlex
- Citations by year (recent)
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2021: 1Per-year citation counts (last 5 years)
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13Number of works referenced by this work
- Related works (count)
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10Other works algorithmically related by OpenAlex
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