Numerical Treatment of Time-Fractional Klein–Gordon Equation Using Redefined Extended Cubic B-Spline Functions
dc.contributor.author | Amin, Muhammad | |
dc.contributor.author | Abbas, Muhammad | |
dc.contributor.author | Iqbal, Muhammad Kashif | |
dc.contributor.author | Baleanu, Dumitru | |
dc.contributor.authorID | 56389 | tr_TR |
dc.date.accessioned | 2022-08-29T11:51:41Z | |
dc.date.available | 2022-08-29T11:51:41Z | |
dc.date.issued | 2020 | |
dc.department | Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü | en_US |
dc.description.abstract | In this article we develop a numerical algorithm based on redefined extended cubic B-spline functions to explore the approximate solution of the time-fractional Klein–Gordon equation. The proposed technique employs the finite difference formulation to discretize the Caputo fractional time derivative of order α ∈ (1, 2] and uses redefined extended cubic B-spline functions to interpolate the solution curve over a spatial grid. A stability analysis of the scheme is conducted, which confirms that the errors do not amplify during execution of the numerical procedure. The derivation of a uniform convergence result reveals that the scheme is O(h2 + Δt2−α) accurate. Some computational experiments are carried out to verify the theoretical results. Numerical simulations comparing the proposed method with existing techniques demonstrate that our scheme yields superior outcomes. | en_US |
dc.description.publishedMonth | 9 | |
dc.identifier.citation | Amin, Muhammad...et al. (2020). "Numerical Treatment of Time-Fractional Klein–Gordon Equation Using Redefined Extended Cubic B-Spline Functions", Frontiers in Physics, Vol. 8. | en_US |
dc.identifier.doi | 10.3389/fphy.2020.00288 | |
dc.identifier.issn | 2296-424X | |
dc.identifier.uri | http://hdl.handle.net/20.500.12416/5786 | |
dc.identifier.volume | 8 | en_US |
dc.language.iso | en | en_US |
dc.relation.ispartof | Frontiers in Physics | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Caputo Fractional Derivative | en_US |
dc.subject | Convergence Analysis | en_US |
dc.subject | Finite Difference Method | en_US |
dc.subject | Redefined Extended Cubic B-Spline | en_US |
dc.subject | Time Fractional Klein-Gorden Equation | en_US |
dc.title | Numerical Treatment of Time-Fractional Klein–Gordon Equation Using Redefined Extended Cubic B-Spline Functions | tr_TR |
dc.title | Numerical Treatment of Time-Fractional Klein–gordon Equation Using Redefined Extended Cubic B-Spline Functions | en_US |
dc.type | Article | en_US |
dspace.entity.type | Publication |