Operational matrix method to solve nonlinear reaction-advection-diffusion equation in fractional order system Article Swipe
Eduard‐Marius Craciun
,
Munendra Singh
·
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.2478/auom-2022-0036
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.2478/auom-2022-0036
In the present paper, a numerical scheme is discussed to solve one-dimensional nonlinear diffusion equation of fractional order in which collocation is performed using the Lucas operational matrix. Since the spectral collocation method is used in the proposed method, therefore the residual, initial and boundary conditions of the presented problem are collocated at fixed collocation points. The result is a system of nonlinear equations that can be solved by using Newton’s method. Through error analysis and application to some existing problems, the accuracy of the method is confirmed. The obtained results are presented in tabular forms, which clearly show the higher accuracy of the proposed method. The variations of the solute profile of the proposed model are shown graphically due to the presence or absence of advection and reaction terms for different particular cases.
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- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.2478/auom-2022-0036
- OA Status
- diamond
- Cited By
- 3
- References
- 14
- Related Works
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- OpenAlex ID
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- OpenAlex ID
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https://openalex.org/W4380558664Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.2478/auom-2022-0036Digital Object Identifier
- Title
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Operational matrix method to solve nonlinear reaction-advection-diffusion equation in fractional order systemWork title
- Type
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articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2022Year of publication
- Publication date
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2022-09-01Full publication date if available
- Authors
-
Eduard‐Marius Craciun, Munendra SinghList of authors in order
- Landing page
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https://doi.org/10.2478/auom-2022-0036Publisher landing page
- Open access
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YesWhether a free full text is available
- OA status
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diamondOpen access status per OpenAlex
- OA URL
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https://doi.org/10.2478/auom-2022-0036Direct OA link when available
- Concepts
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Advection, Order (exchange), Nonlinear system, Matrix (chemical analysis), Applied mathematics, Diffusion, Mathematics, Reaction–diffusion system, Mathematical analysis, Physics, Thermodynamics, Chemistry, Economics, Chromatography, Quantum mechanics, FinanceTop concepts (fields/topics) attached by OpenAlex
- Cited by
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3Total citation count in OpenAlex
- Citations by year (recent)
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2024: 2, 2023: 1Per-year citation counts (last 5 years)
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14Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.paper, | 4 |
| abstract_inverted_index.result | 58 |
| abstract_inverted_index.scheme | 7 |
| abstract_inverted_index.solute | 111 |
| abstract_inverted_index.solved | 68 |
| abstract_inverted_index.system | 61 |
| abstract_inverted_index.Through | 73 |
| abstract_inverted_index.absence | 125 |
| abstract_inverted_index.clearly | 98 |
| abstract_inverted_index.initial | 43 |
| abstract_inverted_index.matrix. | 28 |
| abstract_inverted_index.method, | 39 |
| abstract_inverted_index.method. | 72, 106 |
| abstract_inverted_index.points. | 56 |
| abstract_inverted_index.present | 3 |
| abstract_inverted_index.problem | 50 |
| abstract_inverted_index.profile | 112 |
| abstract_inverted_index.results | 91 |
| abstract_inverted_index.tabular | 95 |
| abstract_inverted_index.Abstract | 0 |
| abstract_inverted_index.accuracy | 83, 102 |
| abstract_inverted_index.analysis | 75 |
| abstract_inverted_index.boundary | 45 |
| abstract_inverted_index.equation | 15 |
| abstract_inverted_index.existing | 80 |
| abstract_inverted_index.obtained | 90 |
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| abstract_inverted_index.proposed | 38, 105, 115 |
| abstract_inverted_index.reaction | 129 |
| abstract_inverted_index.spectral | 31 |
| abstract_inverted_index.advection | 127 |
| abstract_inverted_index.different | 132 |
| abstract_inverted_index.diffusion | 14 |
| abstract_inverted_index.discussed | 9 |
| abstract_inverted_index.equations | 64 |
| abstract_inverted_index.nonlinear | 13, 63 |
| abstract_inverted_index.numerical | 6 |
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| abstract_inverted_index.presented | 49, 93 |
| abstract_inverted_index.problems, | 81 |
| abstract_inverted_index.residual, | 42 |
| abstract_inverted_index.therefore | 40 |
| abstract_inverted_index.Newton’s | 71 |
| abstract_inverted_index.collocated | 52 |
| abstract_inverted_index.conditions | 46 |
| abstract_inverted_index.confirmed. | 88 |
| abstract_inverted_index.fractional | 17 |
| abstract_inverted_index.particular | 133 |
| abstract_inverted_index.variations | 108 |
| abstract_inverted_index.application | 77 |
| abstract_inverted_index.collocation | 21, 32, 55 |
| abstract_inverted_index.graphically | 119 |
| abstract_inverted_index.operational | 27 |
| abstract_inverted_index.one-dimensional | 12 |
| cited_by_percentile_year.max | 96 |
| cited_by_percentile_year.min | 89 |
| countries_distinct_count | 2 |
| institutions_distinct_count | 2 |
| sustainable_development_goals[0].id | https://metadata.un.org/sdg/13 |
| sustainable_development_goals[0].score | 0.41999998688697815 |
| sustainable_development_goals[0].display_name | Climate action |
| citation_normalized_percentile.value | 0.59196972 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |