Reproducing kernel method for solving partial two-dimensional nonlinear fractional Volterra integral equation
This article discusses the replicating kernel interpolation collocation method related to Jacobi polynomials to solve a class of fractional system of equations. The reproducing kernel function that is executed as an (RKM) was first created in the form of Jacobi polynomials. To prevent Schmidt orthog...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Shahid Bahonar University of Kerman
2023-05-01
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| Series: | Journal of Mahani Mathematical Research |
| Subjects: | |
| Online Access: | https://jmmrc.uk.ac.ir/article_3506_e1d38ae06b3236430dda65c676779255.pdf |
| _version_ | 1797799222648504320 |
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| author | Reza Alizadeh M. Jahangiri Ali Ebadian F. Dastmalchi |
| author_facet | Reza Alizadeh M. Jahangiri Ali Ebadian F. Dastmalchi |
| author_sort | Reza Alizadeh |
| collection | DOAJ |
| description | This article discusses the replicating kernel interpolation collocation method related to Jacobi polynomials to solve a class of fractional system of equations. The reproducing kernel function that is executed as an (RKM) was first created in the form of Jacobi polynomials. To prevent Schmidt orthogonalization, researchers compare the numerical solutions achieved by varying the parameter value. Through various numerical examples, it is demonstrated that this technique is practical and precise. |
| first_indexed | 2024-03-13T04:16:44Z |
| format | Article |
| id | doaj.art-7820b80477414c4b9f0cb82100c830bf |
| institution | Directory Open Access Journal |
| issn | 2251-7952 2645-4505 |
| language | English |
| last_indexed | 2024-03-13T04:16:44Z |
| publishDate | 2023-05-01 |
| publisher | Shahid Bahonar University of Kerman |
| record_format | Article |
| series | Journal of Mahani Mathematical Research |
| spelling | doaj.art-7820b80477414c4b9f0cb82100c830bf2023-06-21T03:19:52ZengShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-79522645-45052023-05-0112232533710.22103/jmmr.2022.19237.12283506Reproducing kernel method for solving partial two-dimensional nonlinear fractional Volterra integral equationReza Alizadeh0M. Jahangiri1Ali Ebadian2F. Dastmalchi3Department of Mathematics, Tabriz Branch, Islamic Azad University, Tehran, IranDepartment of Mathematics, Tabriz Branch, Islamic Azad University, Tehran, IranDepartment of Mathematics, Faculty of Science, Urmia University, Urmia, IranDepartment of Mathematics, Tabriz Branch, Islamic Azad University, Tehran, IranThis article discusses the replicating kernel interpolation collocation method related to Jacobi polynomials to solve a class of fractional system of equations. The reproducing kernel function that is executed as an (RKM) was first created in the form of Jacobi polynomials. To prevent Schmidt orthogonalization, researchers compare the numerical solutions achieved by varying the parameter value. Through various numerical examples, it is demonstrated that this technique is practical and precise.https://jmmrc.uk.ac.ir/article_3506_e1d38ae06b3236430dda65c676779255.pdfreproducingshifted jacobi polynomialstwo-dimensional fractional integral equationfractional derivatives |
| spellingShingle | Reza Alizadeh M. Jahangiri Ali Ebadian F. Dastmalchi Reproducing kernel method for solving partial two-dimensional nonlinear fractional Volterra integral equation Journal of Mahani Mathematical Research reproducing shifted jacobi polynomials two-dimensional fractional integral equation fractional derivatives |
| title | Reproducing kernel method for solving partial two-dimensional nonlinear fractional Volterra integral equation |
| title_full | Reproducing kernel method for solving partial two-dimensional nonlinear fractional Volterra integral equation |
| title_fullStr | Reproducing kernel method for solving partial two-dimensional nonlinear fractional Volterra integral equation |
| title_full_unstemmed | Reproducing kernel method for solving partial two-dimensional nonlinear fractional Volterra integral equation |
| title_short | Reproducing kernel method for solving partial two-dimensional nonlinear fractional Volterra integral equation |
| title_sort | reproducing kernel method for solving partial two dimensional nonlinear fractional volterra integral equation |
| topic | reproducing shifted jacobi polynomials two-dimensional fractional integral equation fractional derivatives |
| url | https://jmmrc.uk.ac.ir/article_3506_e1d38ae06b3236430dda65c676779255.pdf |
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