Implicit Two-Point Block Method for Solving Fourth-Order Initial Value Problem Directly with Application Article Swipe
Reem Allogmany
,
Fudziah Ismail
,
Zanariah Abdul Majid
,
Zarina Bibi İbrahim
·
YOU?
·
· 2020
· Open Access
·
· DOI: https://doi.org/10.1155/2020/6351279
YOU?
·
· 2020
· Open Access
·
· DOI: https://doi.org/10.1155/2020/6351279
This paper proposes an implicit block method with two-point to directly solve the fourth-order Initial Value Problems (IVPs). The implicit block method is derived by adopting Hermite interpolating polynomial as the basis function, incorporating the first derivative ofto enhance the solution’s accuracy. A block formulation is presented to acquire the numerical approximation at two points simultaneously. The introduced method’s basic properties, including order, zero stability, and convergence, are presented. Numerical experiments are carried out to verify the accuracy and efficiency of the proposed method compared with those of the several existing methods. Application in ship dynamics is also presented which yield impressive results for the proposed two-point block method.
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- Type
- article
- Language
- lv
- Landing Page
- https://doi.org/10.1155/2020/6351279
- https://downloads.hindawi.com/journals/mpe/2020/6351279.pdf
- OA Status
- hybrid
- Cited By
- 12
- References
- 19
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W3085368589
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https://openalex.org/W3085368589Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1155/2020/6351279Digital Object Identifier
- Title
-
Implicit Two-Point Block Method for Solving Fourth-Order Initial Value Problem Directly with ApplicationWork title
- Type
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articleOpenAlex work type
- Language
-
lvPrimary language
- Publication year
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2020Year of publication
- Publication date
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2020-09-15Full publication date if available
- Authors
-
Reem Allogmany, Fudziah Ismail, Zanariah Abdul Majid, Zarina Bibi İbrahimList of authors in order
- Landing page
-
https://doi.org/10.1155/2020/6351279Publisher landing page
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-
https://downloads.hindawi.com/journals/mpe/2020/6351279.pdfDirect link to full text PDF
- Open access
-
YesWhether a free full text is available
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-
hybridOpen access status per OpenAlex
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https://downloads.hindawi.com/journals/mpe/2020/6351279.pdfDirect OA link when available
- Concepts
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Algorithm, Computer scienceTop concepts (fields/topics) attached by OpenAlex
- Cited by
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12Total citation count in OpenAlex
- Citations by year (recent)
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2025: 2, 2024: 4, 2022: 1, 2021: 5Per-year citation counts (last 5 years)
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19Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.derivative | 36 |
| abstract_inverted_index.efficiency | 84 |
| abstract_inverted_index.impressive | 106 |
| abstract_inverted_index.introduced | 62 |
| abstract_inverted_index.method’s | 63 |
| abstract_inverted_index.polynomial | 28 |
| abstract_inverted_index.presented. | 73 |
| abstract_inverted_index.stability, | 69 |
| abstract_inverted_index.Application | 97 |
| abstract_inverted_index.experiments | 75 |
| abstract_inverted_index.formulation | 49 |
| abstract_inverted_index.of<mml:math | 37 |
| abstract_inverted_index.properties, | 65 |
| abstract_inverted_index.convergence, | 71 |
| abstract_inverted_index.fourth-order | 13 |
| abstract_inverted_index.solution’s | 45 |
| abstract_inverted_index.approximation | 56 |
| abstract_inverted_index.incorporating | 33 |
| abstract_inverted_index.interpolating | 27 |
| abstract_inverted_index.simultaneously. | 60 |
| abstract_inverted_index.id="M1"><mml:mi>f</mml:mi><mml:mfenced | 39 |
| abstract_inverted_index.xmlns:mml="http://www.w3.org/1998/Math/MathML" | 38 |
| abstract_inverted_index.separators="|"><mml:mrow><mml:mi>t</mml:mi><mml:mo>,</mml:mo><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:msup><mml:mrow><mml:mi>y</mml:mi></mml:mrow><mml:mrow><mml:mo>′</mml:mo></mml:mrow></mml:msup><mml:mo>,</mml:mo><mml:msup><mml:mrow><mml:mi>y</mml:mi></mml:mrow><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup><mml:mo>,</mml:mo><mml:msup><mml:mrow><mml:mi>y</mml:mi></mml:mrow><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:mfenced></mml:math>to | 42 |
| cited_by_percentile_year.max | 98 |
| cited_by_percentile_year.min | 89 |
| corresponding_author_ids | https://openalex.org/A5009536643 |
| countries_distinct_count | 2 |
| institutions_distinct_count | 4 |
| corresponding_institution_ids | https://openalex.org/I130343225, https://openalex.org/I23075662 |
| citation_normalized_percentile.value | 0.84586383 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |