A Fourth Order Non-Polynomial Quintic Spline Collocation Technique for Solving Time Fractional Superdiffusion Equations
| dc.contributor.author | Amin, Muhammad | |
| 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.authorID | 56389 | tr_TR |
| dc.date.accessioned | 2020-04-28T21:03:07Z | |
| dc.date.available | 2020-04-28T21:03:07Z | |
| dc.date.issued | 2019 | |
| dc.department | Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü | 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(h4+ Δ t2) 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. © 2019, The Author(s). | en_US |
| dc.description.publishedMonth | 12 | |
| 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 | 16871839 | |
| dc.identifier.issue | 1 | en_US |
| dc.identifier.uri | http://hdl.handle.net/20.500.12416/3488 | |
| dc.identifier.volume | 2019 | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Advances in Difference Equations | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Caputo Time Fractional Derivative | en_US |
| dc.subject | Finite Central Difference Approach | en_US |
| dc.subject | Non-Polynomial Quintic Spline | en_US |
| dc.subject | Superdiffusion Equation | en_US |
| dc.title | A Fourth Order Non-Polynomial Quintic Spline Collocation Technique for Solving Time Fractional Superdiffusion Equations | tr_TR |
| dc.title | A Fourth Order Non-Polynomial Quintic Spline Collocation Technique for Solving Time Fractional Superdiffusion Equations | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication |