Non-Polynomial Quintic Spline for Numerical Solution of Fourth-Order Time Fractional Partial Differential Equations
| dc.contributor.author | Abbas, Muhammad | |
| dc.contributor.author | Iqbal, Muhammad Kashif | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Amin, Muhammad | |
| dc.date.accessioned | 2019-12-27T12:17:09Z | |
| dc.date.accessioned | 2025-09-18T14:10:18Z | |
| dc.date.available | 2019-12-27T12:17:09Z | |
| dc.date.available | 2025-09-18T14:10:18Z | |
| dc.date.issued | 2019 | |
| dc.description | Iqbal, Muhammad Kashif/0000-0003-4442-7498; Abbas, Dr. Muhammad/0000-0002-0491-1528 | en_US |
| dc.description.abstract | This paper presents a novel approach to numerical solution of a class of fourth-order time fractional partial differential equations (PDEs). The finite difference formulation has been used for temporal discretization, whereas the space discretization is achieved by means of non-polynomial quintic spline method. The proposed algorithm is proved to be stable and convergent. In order to corroborate this work, some test problems have been considered, and the computational outcomes are compared with those found in the exiting literature. It is revealed that the presented scheme is more accurate as compared to current variants on the topic. | en_US |
| dc.identifier.citation | Amin, Muhammad...et al. (2019). "Non-polynomial quintic spline for numerical solution of fourth-order time fractional partial differential equations", Advances in Difference Equations. | en_US |
| dc.identifier.doi | 10.1186/s13662-019-2125-1 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-85065816386 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-019-2125-1 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13650 | |
| 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 | Backward Euler Method | en_US |
| dc.subject | Time Fractional Partial Differential Equation | en_US |
| dc.subject | Caputo Fractional Derivative | en_US |
| dc.title | Non-Polynomial Quintic Spline for Numerical Solution of Fourth-Order Time Fractional Partial Differential Equations | en_US |
| dc.title | Non-polynomial quintic spline for numerical solution of fourth-order time fractional partial differential equations | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Iqbal, Muhammad Kashif/0000-0003-4442-7498 | |
| gdc.author.id | Abbas, Dr. Muhammad/0000-0002-0491-1528 | |
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| gdc.author.wosid | Amin, Muhammad/Aab-5519-2021 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Abbas, Muhammad/K-8190-2019 | |
| 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; [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math, Ankara, Turkey | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.volume | 2019 | |
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| gdc.oaire.keywords | Time fractional partial differential equation | |
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| gdc.oaire.keywords | Polynomial | |
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| gdc.oaire.keywords | Quantum mechanics | |
| gdc.oaire.keywords | Convergence Analysis of Iterative Methods for Nonlinear Equations | |
| gdc.oaire.keywords | Differential equation | |
| gdc.oaire.keywords | Engineering | |
| gdc.oaire.keywords | Spline (mechanical) | |
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| gdc.oaire.keywords | QA1-939 | |
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| gdc.oaire.keywords | time fractional partial differential equation | |
| gdc.oaire.keywords | Numerical computation using splines | |
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| gdc.oaire.keywords | Fractional partial differential equations | |
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