A Fourth Order Non-Polynomial Quintic Spline Collocation Technique for Solving Time Fractional Superdiffusion Equations
| dc.contributor.author | Abbas, Muhammad | |
| dc.contributor.author | Iqbal, Muhammad Kashif | |
| dc.contributor.author | Ismail, Ahmad Izani Md. | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Amin, Muhammad | |
| dc.date.accessioned | 2020-04-28T21:03:07Z | |
| dc.date.accessioned | 2025-09-18T16:07:31Z | |
| dc.date.available | 2020-04-28T21:03:07Z | |
| dc.date.available | 2025-09-18T16:07:31Z | |
| dc.date.issued | 2019 | |
| dc.description | Abbas, Dr. Muhammad/0000-0002-0491-1528; Iqbal, Muhammad Kashif/0000-0003-4442-7498 | en_US |
| dc.description.abstract | The purpose of this article is to present a technique for the numerical solution of Caputo time fractional superdiffusion equation. The central difference approximation is used to discretize the time derivative, while non-polynomial quintic spline is employed as an interpolating function in the spatial direction. The proposed method is shown to be unconditionally stable and O(h(4) + Delta t(2)) accurate. In order to check the feasibility of the proposed technique, some test examples have been considered and the simulation results are compared with those available in the existing literature. | en_US |
| dc.description.sponsorship | Universiti Sains Malaysia | en_US |
| dc.description.sponsorship | All the financial support for publishing this paper is funded by Universiti Sains Malaysia. | en_US |
| dc.identifier.citation | Amin, Muhammad...et al. (2019) "A Fourth Order Non-Polynomial Quintic Spline Collocation Technique for Solving Time Fractional Superdiffusion Equations", Advances in Difference Equations, Vol. 2019, No. 1. | en_US |
| dc.identifier.doi | 10.1186/s13662-019-2442-4 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-85076374129 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-019-2442-4 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14774 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Advances in Difference Equations | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Non-Polynomial Quintic Spline | en_US |
| dc.subject | Finite Central Difference Approach | en_US |
| dc.subject | Superdiffusion Equation | en_US |
| dc.subject | Caputo Time Fractional Derivative | en_US |
| dc.title | A Fourth Order Non-Polynomial Quintic Spline Collocation Technique for Solving Time Fractional Superdiffusion Equations | en_US |
| dc.title | A Fourth Order Non-Polynomial Quintic Spline Collocation Technique for Solving Time Fractional Superdiffusion Equations | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Abbas, Dr. Muhammad/0000-0002-0491-1528 | |
| gdc.author.id | Iqbal, Muhammad Kashif/0000-0003-4442-7498 | |
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| gdc.author.wosid | Abbas, Muhammad/K-8190-2019 | |
| gdc.author.wosid | Amin, Muhammad/Aab-5519-2021 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Iqbal, Muhammad Kashif/Hkm-9371-2023 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Amin, Muhammad] Natl Coll Business Adm & Econ, Dept Math, Lahore, Pakistan; [Abbas, Muhammad] Univ Sargodha, Dept Math, Sargodha, Pakistan; [Iqbal, Muhammad Kashif] Govt Coll Univ, Dept Math, Faisalabad, Pakistan; [Ismail, Ahmad Izani Md.] Univ Sains Malaysia, Sch Math Sci, George Town, Malaysia; [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.volume | 2019 | en_US |
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| gdc.oaire.keywords | Numerical Analysis | |
| gdc.oaire.keywords | Time-Fractional Diffusion Equation | |
| gdc.oaire.keywords | Fractional Differential Equations | |
| gdc.oaire.keywords | Non-polynomial quintic spline | |
| gdc.oaire.keywords | Applied Mathematics | |
| gdc.oaire.keywords | Finite central difference approach | |
| gdc.oaire.keywords | Theory and Applications of Fractional Differential Equations | |
| gdc.oaire.keywords | Computer science | |
| gdc.oaire.keywords | Superdiffusion equation | |
| gdc.oaire.keywords | Algorithm | |
| gdc.oaire.keywords | Semilinear Differential Equations | |
| gdc.oaire.keywords | Caputo time fractional derivative | |
| gdc.oaire.keywords | Numerical Methods for Singularly Perturbed Problems | |
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| gdc.oaire.keywords | QA1-939 | |
| gdc.oaire.keywords | FOS: Mathematics | |
| gdc.oaire.keywords | Fractional Calculus | |
| gdc.oaire.keywords | Anomalous Diffusion Modeling and Analysis | |
| gdc.oaire.keywords | Mathematics | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | finite central difference approach | |
| gdc.oaire.keywords | Finite difference methods for initial value and initial-boundary value problems involving PDEs | |
| gdc.oaire.keywords | Caputo fractional derivative | |
| gdc.oaire.keywords | non-polynomial quintic spline | |
| gdc.oaire.keywords | Fractional partial differential equations | |
| gdc.oaire.keywords | superdiffusion equation | |
| gdc.oaire.keywords | Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs | |
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