A reliable computational approach for fractional isothermal chemical model
This article analyzes and computes numerical solutions for the fractional isothermal chemical (FIC) model. This work suggested a Jacobi collocation method (JCM) to examine the FIC model. In the beginning, we constructed the operational matrices for fractional order derivatives for Jacobi polynomials...
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| Format: | Article |
| Language: | English |
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Elsevier
2024-12-01
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| Series: | Alexandria Engineering Journal |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016824007427 |
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| author | Devendra Kumar Hunney Nama Dumitru Baleanu |
| author_facet | Devendra Kumar Hunney Nama Dumitru Baleanu |
| author_sort | Devendra Kumar |
| collection | DOAJ |
| description | This article analyzes and computes numerical solutions for the fractional isothermal chemical (FIC) model. This work suggested a Jacobi collocation method (JCM) to examine the FIC model. In the beginning, we constructed the operational matrices for fractional order derivatives for Jacobi polynomials. Then, by using operational matrices and the collocation technique, we converted the provided model into a set of algebraic equations. The approach that is used in this article is quicker and more effective than several other schemes. We solve the system of equations for various fractional orders of differentiation. Comparison of JCM and Newton polynomial interpolation (NPI) technique is present in this article. Furthermore, an error analysis of the proposed procedure is also given. |
| format | Article |
| id | doaj-art-ace6547b91654c9bae981a0793ac757c |
| institution | Kabale University |
| issn | 1110-0168 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj-art-ace6547b91654c9bae981a0793ac757c2024-11-22T07:36:08ZengElsevierAlexandria Engineering Journal1110-01682024-12-01108364370A reliable computational approach for fractional isothermal chemical modelDevendra Kumar0Hunney Nama1Dumitru Baleanu2Department of Mathematics, University of Rajasthan, Jaipur 302004, India; Department of Mathematics, Kyung Hee University, 26 Kyungheedae-ro, Dongdaemun-gu, Seoul, 02447, Republic of Korea; Corresponding author at: Department of Mathematics, University of Rajasthan, Jaipur 302004, India.Department of Mathematics, University of Rajasthan, Jaipur 302004, IndiaDepartment of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon; Institute of Space Sciences-Subsidiary of INFLPR, Magurele-Bucharest, RomaniaThis article analyzes and computes numerical solutions for the fractional isothermal chemical (FIC) model. This work suggested a Jacobi collocation method (JCM) to examine the FIC model. In the beginning, we constructed the operational matrices for fractional order derivatives for Jacobi polynomials. Then, by using operational matrices and the collocation technique, we converted the provided model into a set of algebraic equations. The approach that is used in this article is quicker and more effective than several other schemes. We solve the system of equations for various fractional orders of differentiation. Comparison of JCM and Newton polynomial interpolation (NPI) technique is present in this article. Furthermore, an error analysis of the proposed procedure is also given.http://www.sciencedirect.com/science/article/pii/S1110016824007427Fractional isothermal chemical modelCollocation techniqueJacobi polynomialsNewton polynomial interpolationOperational matrixError analysis |
| spellingShingle | Devendra Kumar Hunney Nama Dumitru Baleanu A reliable computational approach for fractional isothermal chemical model Alexandria Engineering Journal Fractional isothermal chemical model Collocation technique Jacobi polynomials Newton polynomial interpolation Operational matrix Error analysis |
| title | A reliable computational approach for fractional isothermal chemical model |
| title_full | A reliable computational approach for fractional isothermal chemical model |
| title_fullStr | A reliable computational approach for fractional isothermal chemical model |
| title_full_unstemmed | A reliable computational approach for fractional isothermal chemical model |
| title_short | A reliable computational approach for fractional isothermal chemical model |
| title_sort | reliable computational approach for fractional isothermal chemical model |
| topic | Fractional isothermal chemical model Collocation technique Jacobi polynomials Newton polynomial interpolation Operational matrix Error analysis |
| url | http://www.sciencedirect.com/science/article/pii/S1110016824007427 |
| work_keys_str_mv | AT devendrakumar areliablecomputationalapproachforfractionalisothermalchemicalmodel AT hunneynama areliablecomputationalapproachforfractionalisothermalchemicalmodel AT dumitrubaleanu areliablecomputationalapproachforfractionalisothermalchemicalmodel AT devendrakumar reliablecomputationalapproachforfractionalisothermalchemicalmodel AT hunneynama reliablecomputationalapproachforfractionalisothermalchemicalmodel AT dumitrubaleanu reliablecomputationalapproachforfractionalisothermalchemicalmodel |