Fuzzy Volterra Integro-Differential Equations Using General Linear Method Article Swipe
Zanariah Abdul Majid
,
Faranak Rabiei
,
Fatin Abd Hamid
,
Fudziah Ismail
·
YOU?
·
· 2019
· Open Access
·
· DOI: https://doi.org/10.3390/sym11030381
YOU?
·
· 2019
· Open Access
·
· DOI: https://doi.org/10.3390/sym11030381
In this paper, a fuzzy general linear method of order three for solving fuzzy Volterra integro-differential equations of second kind is proposed. The general linear method is operated using the both internal stages of Runge-Kutta method and multivalues of a multisteps method. The derivation of general linear method is based on the theory of B-series and rooted trees. Here, the fuzzy general linear method using the approach of generalized Hukuhara differentiability and combination of composite Simpson’s rules together with Lagrange interpolation polynomial is constructed for numerical solution of fuzzy volterra integro-differential equations. To illustrate the performance of the method, the numerical results are compared with some existing numerical methods.
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Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.3390/sym11030381
- https://www.mdpi.com/2073-8994/11/3/381/pdf?version=1552640444
- OA Status
- gold
- Cited By
- 6
- References
- 24
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W2921998534
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Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W2921998534Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.3390/sym11030381Digital Object Identifier
- Title
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Fuzzy Volterra Integro-Differential Equations Using General Linear MethodWork title
- Type
-
articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2019Year of publication
- Publication date
-
2019-03-15Full publication date if available
- Authors
-
Zanariah Abdul Majid, Faranak Rabiei, Fatin Abd Hamid, Fudziah IsmailList of authors in order
- Landing page
-
https://doi.org/10.3390/sym11030381Publisher landing page
- PDF URL
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https://www.mdpi.com/2073-8994/11/3/381/pdf?version=1552640444Direct 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
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https://www.mdpi.com/2073-8994/11/3/381/pdf?version=1552640444Direct OA link when available
- Concepts
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Mathematics, Lagrange polynomial, Fuzzy logic, Volterra integral equation, Polynomial, Applied mathematics, Numerical analysis, Polynomial interpolation, Differential equation, Differentiable function, Linear interpolation, Mathematical analysis, Integral equation, Computer science, Artificial intelligenceTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
6Total citation count in OpenAlex
- Citations by year (recent)
-
2025: 1, 2024: 1, 2022: 2, 2021: 1, 2020: 1Per-year citation counts (last 5 years)
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24Number of works referenced by this work
- Related works (count)
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10Other works algorithmically related by OpenAlex
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| referenced_works | https://openalex.org/W1976470017, https://openalex.org/W2000902223, https://openalex.org/W2076628063, https://openalex.org/W1995580872, https://openalex.org/W2070545443, https://openalex.org/W1994178762, https://openalex.org/W1965955764, https://openalex.org/W2062148826, https://openalex.org/W1576839730, https://openalex.org/W6636397435, https://openalex.org/W2074371287, https://openalex.org/W2013151155, https://openalex.org/W2150235481, https://openalex.org/W1940323032, https://openalex.org/W1560538028, https://openalex.org/W2050296550, https://openalex.org/W2758342235, https://openalex.org/W565587792, https://openalex.org/W1999080212, https://openalex.org/W3021895250, https://openalex.org/W4300831640, https://openalex.org/W6727257384, https://openalex.org/W1608298767, https://openalex.org/W2520866835 |
| referenced_works_count | 24 |
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| corresponding_author_ids | https://openalex.org/A5021855509 |
| countries_distinct_count | 1 |
| institutions_distinct_count | 4 |
| corresponding_institution_ids | https://openalex.org/I11662577 |
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| citation_normalized_percentile.is_in_top_10_percent | False |