An efficient numerical method for fractional order nonlinear two-point boundary value problem occurring in chemical reactor theory Article Swipe
Devendra Kumar
,
Hunney Nama
,
Dumitru Băleanu
·
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.1016/j.aej.2025.01.027
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.1016/j.aej.2025.01.027
This paper is focused on computing an approximate numerical solution of the strongly nonlinear multi-order fractional version (SNMOFV) of a BVP that appears in the theory of chemical reactors. The fractional derivative is defined by using Caputo’s methodology. This research article present a numerical method based upon collocation method with Laguerre polynomials (LPs) and Vieta–Lukas polynomials (VLPs) for the considered problem. This method’s key benefit is the excellent precision and user-friendly approach that are obtained from a limited number of Laguerre and Vieta–Lukas polynomials. Basically, in this article, we offer the numerical solution of the considered fraction model by using the Laguerre collocation technique (LCT) and the Vieta–Lukas collocation technique (VLCT). Also, we present a comparison of the collocation technique with the generalized differential transform method (GDTM). Error analysis of LCT and VLCT is also presented in this paper.
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- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1016/j.aej.2025.01.027
- OA Status
- gold
- Cited By
- 1
- References
- 48
- Related Works
- 10
- OpenAlex ID
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https://openalex.org/W4406689274Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1016/j.aej.2025.01.027Digital Object Identifier
- Title
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An efficient numerical method for fractional order nonlinear two-point boundary value problem occurring in chemical reactor theoryWork title
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articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2025Year of publication
- Publication date
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2025-01-21Full publication date if available
- Authors
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Devendra Kumar, Hunney Nama, Dumitru BăleanuList of authors in order
- Landing page
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https://doi.org/10.1016/j.aej.2025.01.027Publisher landing page
- Open access
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YesWhether a free full text is available
- OA status
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goldOpen access status per OpenAlex
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https://doi.org/10.1016/j.aej.2025.01.027Direct OA link when available
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Nonlinear system, Boundary value problem, Order (exchange), Mathematics, Value (mathematics), Applied mathematics, Chemical reactor, Multi point, Mathematical optimization, Mathematical analysis, Physics, Thermodynamics, Statistics, Economics, Finance, Quantum mechanicsTop concepts (fields/topics) attached by OpenAlex
- Cited by
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1Total citation count in OpenAlex
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2025: 1Per-year citation counts (last 5 years)
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48Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.(SNMOFV) | 17 |
| abstract_inverted_index.Laguerre | 50, 80, 101 |
| abstract_inverted_index.analysis | 128 |
| abstract_inverted_index.approach | 71 |
| abstract_inverted_index.article, | 87 |
| abstract_inverted_index.chemical | 27 |
| abstract_inverted_index.fraction | 96 |
| abstract_inverted_index.obtained | 74 |
| abstract_inverted_index.problem. | 60 |
| abstract_inverted_index.research | 39 |
| abstract_inverted_index.solution | 9, 92 |
| abstract_inverted_index.strongly | 12 |
| abstract_inverted_index.computing | 5 |
| abstract_inverted_index.excellent | 67 |
| abstract_inverted_index.nonlinear | 13 |
| abstract_inverted_index.numerical | 8, 43, 91 |
| abstract_inverted_index.precision | 68 |
| abstract_inverted_index.presented | 135 |
| abstract_inverted_index.reactors. | 28 |
| abstract_inverted_index.technique | 103, 109, 119 |
| abstract_inverted_index.transform | 124 |
| abstract_inverted_index.Basically, | 84 |
| abstract_inverted_index.Caputo’s | 36 |
| abstract_inverted_index.comparison | 115 |
| abstract_inverted_index.considered | 59, 95 |
| abstract_inverted_index.derivative | 31 |
| abstract_inverted_index.fractional | 15, 30 |
| abstract_inverted_index.method’s | 62 |
| abstract_inverted_index.approximate | 7 |
| abstract_inverted_index.collocation | 47, 102, 108, 118 |
| abstract_inverted_index.generalized | 122 |
| abstract_inverted_index.multi-order | 14 |
| abstract_inverted_index.polynomials | 51, 55 |
| abstract_inverted_index.differential | 123 |
| abstract_inverted_index.methodology. | 37 |
| abstract_inverted_index.polynomials. | 83 |
| abstract_inverted_index.Vieta–Lukas | 54, 82, 107 |
| abstract_inverted_index.user-friendly | 70 |
| cited_by_percentile_year.max | 95 |
| cited_by_percentile_year.min | 91 |
| countries_distinct_count | 0 |
| institutions_distinct_count | 3 |
| citation_normalized_percentile.value | 0.79961067 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | True |