Extended Cubic B-Splines in the Numerical Solution of Time Fractional Telegraph Equation
| dc.contributor.author | Abbas, Muhammad | |
| dc.contributor.author | Ismail, Ahmad Izani | |
| dc.contributor.author | Ali, Norhashidah Hj M. | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Akram, Tayyaba | |
| dc.date.accessioned | 2019-12-25T13:13:12Z | |
| dc.date.accessioned | 2025-09-18T14:10:12Z | |
| dc.date.available | 2019-12-25T13:13:12Z | |
| dc.date.available | 2025-09-18T14:10:12Z | |
| dc.date.issued | 2019 | |
| dc.description | Akram, Tayyaba/0000-0002-1825-2631; Abbas, Dr. Muhammad/0000-0002-0491-1528 | en_US |
| dc.description.abstract | A finite difference scheme based on extended cubic B-spline method for the solution of time fractional telegraph equation is presented and discussed. The Caputo fractional formula is used in the discretization of the time fractional derivative. A combination of the Caputo fractional derivative together with an extended cubic B-spline is utilized to obtain the computed solutions. The proposed scheme is shown to possess the unconditional stability property with second order convergence. Numerical results demonstrate the applicability, simplicity and the strength of the scheme in solving the time fractional telegraph equation with accuracies very close to the exact solutions. | en_US |
| dc.description.sponsorship | School of Mathematical Sciences, Universiti Sains Malaysia | en_US |
| dc.description.sponsorship | The authors are grateful to the anonymous reviewers for their helpful, valuable comments and suggestions in the improvement of this manuscript. The authors also gratefully acknowledge that this research was financially supported by School of Mathematical Sciences, Universiti Sains Malaysia. | en_US |
| dc.identifier.citation | Akram, Tayyaba...et al. (2019). "Extended cubic B-splines in the numerical solution of time fractional telegraph equation", Advances in Difference Equations, Vol. 2019, No. 1. | en_US |
| dc.identifier.doi | 10.1186/s13662-019-2296-9 | |
| dc.identifier.issn | 1687-1847 | |
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| dc.identifier.uri | https://doi.org/10.1186/s13662-019-2296-9 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13615 | |
| 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 Telegraph Equation | en_US |
| dc.subject | Extended Cubic B-Spline Basis Functions | en_US |
| dc.subject | Collocation Method | en_US |
| dc.subject | Caputo'S Fractional Derivative | en_US |
| dc.subject | Stability Analysis | en_US |
| dc.subject | Convergence | en_US |
| dc.title | Extended Cubic B-Splines in the Numerical Solution of Time Fractional Telegraph Equation | en_US |
| dc.title | Extended cubic B-splines in the numerical solution of time fractional telegraph equation | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Akram, Tayyaba/0000-0002-1825-2631 | |
| gdc.author.id | Abbas, Dr. Muhammad/0000-0002-0491-1528 | |
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| gdc.author.wosid | Ali, Norhashidah/R-6351-2019 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Akram, Tayyaba/C-7034-2019 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Akram, Tayyaba; Ismail, Ahmad Izani; Ali, Norhashidah Hj M.] Univ Sains Malaysia, Sch Math Sci, George Town, Malaysia; [Abbas, Muhammad] Univ Sargodha, Dept Math, Sargodha, Pakistan; [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math, Ankara, Turkey | en_US |
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| gdc.oaire.keywords | Caputo’s fractional derivative | |
| gdc.oaire.keywords | Telegrapher's equations | |
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