Diagonal Block Method for Solving Two-Point Boundary Value Problems with Robin Boundary Conditions Article Swipe
Nadirah Mohd Nasir
,
Zanariah Abdul Majid
,
Fudziah Ismail
,
Norfifah Bachok
·
YOU?
·
· 2018
· Open Access
·
· DOI: https://doi.org/10.1155/2018/2056834
YOU?
·
· 2018
· Open Access
·
· DOI: https://doi.org/10.1155/2018/2056834
This numerical study presents the diagonal block method of order four for solving the second-order boundary value problems (BVPs) with Robin boundary conditions at two-point concurrently using constant step size. The solution is obtained directly without reducing to a system of first-order differential equations using a combination of predictor-corrector mode via shooting technique. The shooting method was adapted with the Newton divided difference interpolation approach as the strategy of seeking for the new initial estimate. Five numerical examples are included to examine and illustrate the practical usefulness of the proposed method. Numerical tested problem is also highlighted on the diffusion of heat generated application that imposed the Robin boundary conditions. The present findings revealed that the proposed method gives an efficient performance in terms of accuracy, total function calls, and execution time as compared with the existing method.
Related Topics
Concepts
Diagonal
Boundary value problem
Mathematics
Interpolation (computer graphics)
Shooting method
Boundary (topology)
Robin boundary condition
Point (geometry)
Block (permutation group theory)
Numerical analysis
Applied mathematics
Mathematical optimization
Mathematical analysis
Computer science
Free boundary problem
Geometry
Computer graphics (images)
Animation
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1155/2018/2056834
- http://downloads.hindawi.com/journals/mpe/2018/2056834.pdf
- OA Status
- hybrid
- Cited By
- 12
- References
- 11
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W2895115404
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W2895115404Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1155/2018/2056834Digital Object Identifier
- Title
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Diagonal Block Method for Solving Two-Point Boundary Value Problems with Robin Boundary ConditionsWork title
- Type
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articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2018Year of publication
- Publication date
-
2018-10-02Full publication date if available
- Authors
-
Nadirah Mohd Nasir, Zanariah Abdul Majid, Fudziah Ismail, Norfifah BachokList of authors in order
- Landing page
-
https://doi.org/10.1155/2018/2056834Publisher landing page
- PDF URL
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https://downloads.hindawi.com/journals/mpe/2018/2056834.pdfDirect link to full text PDF
- Open access
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YesWhether a free full text is available
- OA status
-
hybridOpen access status per OpenAlex
- OA URL
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https://downloads.hindawi.com/journals/mpe/2018/2056834.pdfDirect OA link when available
- Concepts
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Diagonal, Boundary value problem, Mathematics, Interpolation (computer graphics), Shooting method, Boundary (topology), Robin boundary condition, Point (geometry), Block (permutation group theory), Numerical analysis, Applied mathematics, Mathematical optimization, Mathematical analysis, Computer science, Free boundary problem, Geometry, Computer graphics (images), AnimationTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
12Total citation count in OpenAlex
- Citations by year (recent)
-
2025: 1, 2024: 1, 2023: 3, 2022: 3, 2021: 2Per-year citation counts (last 5 years)
- References (count)
-
11Number of works referenced by this work
- Related works (count)
-
10Other works algorithmically related by OpenAlex
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