Lucas Wavelet Scheme for Fractional Bagley–torvik Equations: Gauss–jacobi Approach
| dc.contributor.author | Koundal, R. | |
| dc.contributor.author | Kumar, R. | |
| dc.contributor.author | Srivastava, K. | |
| dc.contributor.author | Baleanu, D. | |
| dc.date.accessioned | 2024-04-25T07:30:15Z | |
| dc.date.accessioned | 2025-09-18T13:27:42Z | |
| dc.date.available | 2024-04-25T07:30:15Z | |
| dc.date.available | 2025-09-18T13:27:42Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | A novel technique called as Lucas wavelet scheme (LWS) is prepared for the treatment of Bagley–Torvik equations (BTEs). Lucas wavelets for the approximation of unknown functions appearing in BTEs are introduced. Fractional derivatives are evaluated by employing Gauss–Jacobi quadrature formula. Further, well-known least square method (LSM) is adopted to compute the residual function, and the system of algebraic equation is obtained. Convergence criterion is derived and error bounds are obtained for the established technique. The scheme is investigated by choosing some reliable test problems through tables and figures, which ensures the convenience, validity and applicability of LWS. © 2021, The Author(s), under exclusive licence to Springer Nature India Private Limited. | en_US |
| dc.description.sponsorship | Central University of Himachal Pradesh; Department of Science and Technology, Ministry of Science and Technology, India, डीएसटी; Ministry of Science and Technology, Israel, (/WOS-A/PM-20/2018); Ministry of Science and Technology, Israel | en_US |
| dc.identifier.citation | Koundal, Reena;...et.al. (2021). "Lucas Wavelet Scheme for Fractional Bagley–Torvik Equations: Gauss–Jacobi Approach", International Journal of Applied and Computational Mathematics, Vol.8, No.1. | en_US |
| dc.identifier.doi | 10.1007/s40819-021-01206-z | |
| dc.identifier.issn | 2349-5103 | |
| dc.identifier.issn | 2199-5796 | |
| dc.identifier.scopus | 2-s2.0-85120863143 | |
| dc.identifier.uri | https://doi.org/10.1007/s40819-021-01206-z | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13031 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | International Journal of Applied and Computational Mathematics | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Caputo Derivative | en_US |
| dc.subject | Fractional Btes | en_US |
| dc.subject | Gauss–Jacobi Quadrature | en_US |
| dc.subject | Least Square Method | en_US |
| dc.subject | Lucas Wavelet | en_US |
| dc.title | Lucas Wavelet Scheme for Fractional Bagley–torvik Equations: Gauss–jacobi Approach | en_US |
| dc.title | Lucas Wavelet Scheme for Fractional Bagley–Torvik Equations: Gauss–Jacobi Approach | tr_TR |
| dc.type | Article | en_US |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | Koundal R., School of Mathematics, Computers & Information Sciences, Central University of Himachal Pradesh, Dharamshala, India; Kumar R., School of Mathematics, Computers & Information Sciences, Central University of Himachal Pradesh, Dharamshala, India; Srivastava K., School of Mathematics, Computers & Information Sciences, Central University of Himachal Pradesh, Dharamshala, India; Baleanu D., Department of Mathematics, Cankaya University, Eskisehir Yolu29.km, Ankara, 06810, Turkey, Institute of Space Sciences, Magurele, Bucharest, Romania, Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.volume | 8 | en_US |
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| gdc.oaire.keywords | Gauss-Jacobi quadrature | |
| gdc.oaire.keywords | least square method | |
| gdc.oaire.keywords | Lucas wavelet | |
| gdc.oaire.keywords | Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations | |
| gdc.oaire.keywords | Numerical methods for wavelets | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
| gdc.oaire.keywords | Caputo derivative | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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