A Numerical Algorithm Based on Modified Extended B-Spline Functions for Solving Time-Fractional Diffusion Wave Equation Involving Reaction and Damping Terms
| dc.contributor.author | Abbas, Muhammad | |
| dc.contributor.author | Iqbal, Muhammad Kashif | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Khalid, Nauman | |
| dc.date.accessioned | 2019-12-25T11:39:08Z | |
| dc.date.accessioned | 2025-09-18T15:43:15Z | |
| dc.date.available | 2019-12-25T11:39:08Z | |
| dc.date.available | 2025-09-18T15:43:15Z | |
| 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 | In this study, we have proposed an efficient numerical algorithm based on third degree modified extended B-spline (EBS) functions for solving time-fractional diffusion wave equation with reaction and damping terms. The Caputo time-fractional derivative has been approximated by means of usual finite difference scheme and the modified EBS functions are used for spatial discretization. The stability analysis and derivation of theoretical convergence validates the authenticity and effectiveness of the proposed algorithm. The numerical experiments show that the computational outcomes are in line with the theoretical expectations. Moreover, the numerical results are proved to be better than other methods on the topic. | en_US |
| dc.identifier.citation | Khalid, Nauman...et al. (2019). "A numerical algorithm based on modified extended B-spline functions for solving time-fractional diffusion wave equation involving reaction and damping terms", Advances in Difference Equations, Vol. 2019, No. 1. | en_US |
| dc.identifier.doi | 10.1186/s13662-019-2318-7 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-85071951355 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-019-2318-7 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13905 | |
| 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 | Time-Fractional Diffusion Wave Equation | en_US |
| dc.subject | Finite Difference Formulation | en_US |
| dc.subject | Caputo'S Time-Fractional Derivative | en_US |
| dc.subject | Modified Extended B-Spline Functions | en_US |
| dc.subject | Modified B-Spline Collocation Method | en_US |
| dc.title | A Numerical Algorithm Based on Modified Extended B-Spline Functions for Solving Time-Fractional Diffusion Wave Equation Involving Reaction and Damping Terms | en_US |
| dc.title | A numerical algorithm based on modified extended B-spline functions for solving time-fractional diffusion wave equation involving reaction and damping terms | 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 | 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 | [Khalid, Nauman] 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.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 | Convergence Analysis of Iterative Methods for Nonlinear Equations | |
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| gdc.oaire.keywords | Engineering | |
| gdc.oaire.keywords | Spline (mechanical) | |
| gdc.oaire.keywords | Modified extended B-spline functions | |
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