Numerical simulation of fuzzy differential equations using general linear method and B-series Article Swipe
Faranak Rabiei
,
Fatin Abd Hamid
,
Mohammad Mehdi Rashidi
,
Fudziah Ismail
·
YOU?
·
· 2017
· Open Access
·
· DOI: https://doi.org/10.1177/1687814017715419
YOU?
·
· 2017
· Open Access
·
· DOI: https://doi.org/10.1177/1687814017715419
In this article, numerical simulation of fuzzy differential equations using general linear method is proposed. The significance of general linear method is derivation of algebraic order conditions of method using technique of rooted trees and B-series. Fuzzy general linear method of order 3 based on the concept of generalized Hukuhara differentiability for solving fuzzy differential equations is developed. Convergence of third-order fuzzy general linear method is proven. The proposed method is tested on fuzzy initial value problems, and the numerical results showed that fuzzy general linear method produced more accurate approximation of fuzzy solution for tested problems compared with the existing fuzzy numerical methods.
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Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1177/1687814017715419
- https://journals.sagepub.com/doi/pdf/10.1177/1687814017715419
- OA Status
- gold
- Cited By
- 6
- References
- 25
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W2758342235
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W2758342235Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1177/1687814017715419Digital Object Identifier
- Title
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Numerical simulation of fuzzy differential equations using general linear method and B-seriesWork title
- Type
-
articleOpenAlex work type
- Language
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enPrimary language
- Publication year
-
2017Year of publication
- Publication date
-
2017-09-01Full publication date if available
- Authors
-
Faranak Rabiei, Fatin Abd Hamid, Mohammad Mehdi Rashidi, Fudziah IsmailList of authors in order
- Landing page
-
https://doi.org/10.1177/1687814017715419Publisher landing page
- PDF URL
-
https://journals.sagepub.com/doi/pdf/10.1177/1687814017715419Direct link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
goldOpen access status per OpenAlex
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https://journals.sagepub.com/doi/pdf/10.1177/1687814017715419Direct OA link when available
- Concepts
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Mathematics, Fuzzy logic, Applied mathematics, Fuzzy number, Numerical analysis, Mathematical optimization, Mathematical analysis, Fuzzy set, Computer science, Artificial intelligenceTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
6Total citation count in OpenAlex
- Citations by year (recent)
-
2025: 1, 2021: 1, 2020: 1, 2019: 3Per-year citation counts (last 5 years)
- References (count)
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25Number of works referenced by this work
- Related works (count)
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10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.with | 98 |
| abstract_inverted_index.Fuzzy | 36 |
| abstract_inverted_index.based | 43 |
| abstract_inverted_index.fuzzy | 6, 53, 61, 73, 83, 92, 101 |
| abstract_inverted_index.order | 25, 41 |
| abstract_inverted_index.trees | 33 |
| abstract_inverted_index.using | 9, 29 |
| abstract_inverted_index.value | 75 |
| abstract_inverted_index.linear | 11, 19, 38, 63, 85 |
| abstract_inverted_index.method | 12, 20, 28, 39, 64, 69, 86 |
| abstract_inverted_index.rooted | 32 |
| abstract_inverted_index.showed | 81 |
| abstract_inverted_index.tested | 71, 95 |
| abstract_inverted_index.concept | 46 |
| abstract_inverted_index.general | 10, 18, 37, 62, 84 |
| abstract_inverted_index.initial | 74 |
| abstract_inverted_index.proven. | 66 |
| abstract_inverted_index.results | 80 |
| abstract_inverted_index.solving | 52 |
| abstract_inverted_index.Hukuhara | 49 |
| abstract_inverted_index.accurate | 89 |
| abstract_inverted_index.article, | 2 |
| abstract_inverted_index.compared | 97 |
| abstract_inverted_index.existing | 100 |
| abstract_inverted_index.methods. | 103 |
| abstract_inverted_index.problems | 96 |
| abstract_inverted_index.produced | 87 |
| abstract_inverted_index.proposed | 68 |
| abstract_inverted_index.solution | 93 |
| abstract_inverted_index.B-series. | 35 |
| abstract_inverted_index.algebraic | 24 |
| abstract_inverted_index.equations | 8, 55 |
| abstract_inverted_index.numerical | 3, 79, 102 |
| abstract_inverted_index.problems, | 76 |
| abstract_inverted_index.proposed. | 14 |
| abstract_inverted_index.technique | 30 |
| abstract_inverted_index.conditions | 26 |
| abstract_inverted_index.derivation | 22 |
| abstract_inverted_index.developed. | 57 |
| abstract_inverted_index.simulation | 4 |
| abstract_inverted_index.Convergence | 58 |
| abstract_inverted_index.generalized | 48 |
| abstract_inverted_index.third-order | 60 |
| abstract_inverted_index.differential | 7, 54 |
| abstract_inverted_index.significance | 16 |
| abstract_inverted_index.approximation | 90 |
| abstract_inverted_index.differentiability | 50 |
| cited_by_percentile_year.max | 97 |
| cited_by_percentile_year.min | 89 |
| corresponding_author_ids | https://openalex.org/A5021855509 |
| countries_distinct_count | 2 |
| institutions_distinct_count | 4 |
| corresponding_institution_ids | https://openalex.org/I130343225 |
| citation_normalized_percentile.value | 0.79866783 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |