Numerical Solution of Time-fractional Reaction Diffusion Equation via Elzaki Transform with Residual Power Series Method Article Swipe
The Elzaki transform with residual power series method is an efficient and reliable approach for solution of linear and non-linear fractional order differential equations. The major purpose of current work is to find the solution of time-fractional reaction diffusion equation by Elzaki transform with residual power series method. Elzaki transform is applied on this equation and then inverse Elzaki is taken on same equation for finding the expression of series solution. Then, assumed approximate solution is substituted on considered equation and unidentified coefficient functions are obtained by using residual function is equal to zero as well as combining its initial circumstances. At last, coefficient functions are substituted in power series form for finding finite approximate analytical solutions. The comparison between exact solution and approximate analytic solutions with different number of terms of this equation are determined and observed for reliability. This method reduces the size of computational works of solution of fractional order reaction diffusion equation. This article is anonymously gives the idea of education in Mathematics in higher studies. The nineteenth-century development of fractional derivatives and integrals, however, began with this paper, which introduced them independently. Among the scientific and engineering domains where fractional calculus is widely utilised are chemistry, physics, economics, biology, and finance. Fifteen years on, fractional calculus has gained popularity because of its proven applicability in many scientific and technical sectors.
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- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.3126/fwje.v1i1.68776
- https://www.nepjol.info/index.php/fwje/article/download/68776/52577
- OA Status
- hybrid
- Cited By
- 1
- References
- 25
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4401768719
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https://openalex.org/W4401768719Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.3126/fwje.v1i1.68776Digital Object Identifier
- Title
-
Numerical Solution of Time-fractional Reaction Diffusion Equation via Elzaki Transform with Residual Power Series MethodWork title
- Type
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articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
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2024Year of publication
- Publication date
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2024-08-22Full publication date if available
- Authors
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R. P. PantList of authors in order
- Landing page
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https://doi.org/10.3126/fwje.v1i1.68776Publisher landing page
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https://www.nepjol.info/index.php/fwje/article/download/68776/52577Direct link to full text PDF
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YesWhether a free full text is available
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hybridOpen access status per OpenAlex
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https://www.nepjol.info/index.php/fwje/article/download/68776/52577Direct OA link when available
- Concepts
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Fractional calculus, Power series, Mathematics, Residual, Series (stratigraphy), Diffusion equation, Applied mathematics, Calculus (dental), Mathematical analysis, Algorithm, Economy, Economics, Medicine, Service (business), Biology, Dentistry, PaleontologyTop concepts (fields/topics) attached by OpenAlex
- Cited by
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1Total citation count in OpenAlex
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2024: 1Per-year citation counts (last 5 years)
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25Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.equation. | 155 |
| abstract_inverted_index.functions | 83, 104 |
| abstract_inverted_index.solution. | 70 |
| abstract_inverted_index.solutions | 125 |
| abstract_inverted_index.technical | 223 |
| abstract_inverted_index.transform | 2, 42, 49 |
| abstract_inverted_index.analytical | 115 |
| abstract_inverted_index.chemistry, | 200 |
| abstract_inverted_index.comparison | 118 |
| abstract_inverted_index.considered | 78 |
| abstract_inverted_index.determined | 135 |
| abstract_inverted_index.economics, | 202 |
| abstract_inverted_index.equations. | 23 |
| abstract_inverted_index.expression | 67 |
| abstract_inverted_index.fractional | 20, 151, 174, 194, 209 |
| abstract_inverted_index.integrals, | 177 |
| abstract_inverted_index.introduced | 184 |
| abstract_inverted_index.non-linear | 19 |
| abstract_inverted_index.popularity | 213 |
| abstract_inverted_index.scientific | 189, 221 |
| abstract_inverted_index.solutions. | 116 |
| abstract_inverted_index.Mathematics | 166 |
| abstract_inverted_index.anonymously | 159 |
| abstract_inverted_index.approximate | 73, 114, 123 |
| abstract_inverted_index.coefficient | 82, 103 |
| abstract_inverted_index.derivatives | 175 |
| abstract_inverted_index.development | 172 |
| abstract_inverted_index.engineering | 191 |
| abstract_inverted_index.substituted | 76, 106 |
| abstract_inverted_index.differential | 22 |
| abstract_inverted_index.reliability. | 139 |
| abstract_inverted_index.unidentified | 81 |
| abstract_inverted_index.applicability | 218 |
| abstract_inverted_index.computational | 146 |
| abstract_inverted_index.circumstances. | 100 |
| abstract_inverted_index.independently. | 186 |
| abstract_inverted_index.time-fractional | 36 |
| abstract_inverted_index.nineteenth-century | 171 |
| cited_by_percentile_year.max | 94 |
| cited_by_percentile_year.min | 90 |
| corresponding_author_ids | https://openalex.org/A5062416164 |
| countries_distinct_count | 1 |
| institutions_distinct_count | 1 |
| corresponding_institution_ids | https://openalex.org/I2800395565 |
| citation_normalized_percentile.value | 0.63310437 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |