Non-standard finite difference and Vieta-Lucas orthogonal polynomials for the multi-space fractional-order coupled Korteweg-de Vries equation
| dc.contributor.author | Saad, Khaled M. | |
| dc.contributor.author | Srivastava, Rekha | |
| dc.date.accessioned | 2024-05-02T18:55:42Z | |
| dc.date.available | 2024-05-02T18:55:42Z | |
| dc.date.issued | 2024 | |
| dc.description.abstract | This paper focuses on examining numerical solutions for fractional-order models within the context of the coupled multi-space Korteweg-de Vries problem (CMSKDV). Different types of kernels, including Liouville-Caputo fractional derivative, as well as Caputo-Fabrizio and Atangana-Baleanu fractional derivatives, are utilized in the examination. For this purpose, the nonstandard finite difference method and spectral collocation method with the properties of the Shifted Vieta-Lucas orthogonal polynomials are employed for converting these models into a system of algebraic equations. The Newton-Raphson technique is then applied to solve these algebraic equations. Since there is no exact solution for non-integer order, we use the absolute two-step error to verify the accuracy of the proposed numerical results. | |
| dc.description.reviewstatus | Reviewed | |
| dc.description.scholarlevel | Faculty | |
| dc.description.sponsorship | This research was funded by the Deanship of Scientific Research at Najran University under grant number (NU/DRP/SERC/12/16). | |
| dc.identifier.citation | Saad, K. M., & Srivastava, R. (2024). Non-standard finite difference and Vieta-Lucas orthogonal polynomials for the multi-space fractional-order coupled Korteweg-de Vries equation. Symmetry, 16(2), 242. https://doi.org/10.3390/sym16020242 | |
| dc.identifier.uri | https://doi.org/10.3390/sym16020242 | |
| dc.identifier.uri | https://hdl.handle.net/1828/16467 | |
| dc.language.iso | en | |
| dc.publisher | Symmetry | |
| dc.rights | Attribution 4.0 International | en |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | |
| dc.subject.department | Department of Mathematics and Statistics | |
| dc.title | Non-standard finite difference and Vieta-Lucas orthogonal polynomials for the multi-space fractional-order coupled Korteweg-de Vries equation | |
| dc.type | Article |