Solving Time Fractional Burgers' and Fisher's Equations Using Cubic B-Spline Approximation Method
| dc.contributor.author | Kamran, Mohsin | |
| dc.contributor.author | Iqbal, Muhammad Kashif | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Majeed, Abdul | |
| dc.date.accessioned | 2021-01-28T12:20:44Z | |
| dc.date.accessioned | 2025-09-18T13:27:11Z | |
| dc.date.available | 2021-01-28T12:20:44Z | |
| dc.date.available | 2025-09-18T13:27:11Z | |
| dc.date.issued | 2020 | |
| dc.description | Iqbal, Muhammad Kashif/0000-0003-4442-7498 | en_US |
| dc.description.abstract | This article presents a numerical algorithm for solving time fractional Burgers' and Fisher's equations using cubic B-spline finite element method. The L1 formula with Caputo derivative is used to discretized the time fractional derivative, whereas the Crank-Nicolson scheme based on cubic B-spline functions is used to interpolate the solution curve along the spatial grid. The numerical scheme has been implemented on three test problems. The obtained results indicate that the proposed method is a good option for solving nonlinear fractional Burgers' and Fisher's equations. The error norms L2 and L infinity have been calculated to validate the efficiency and accuracy of the presented algorithm. | en_US |
| dc.identifier.citation | Majeed, Abdul...et al. (2020) "Solving time fractional Burgers' and Fisher's equations using cubic B-spline approximation method", Advances in Difference Equations, Vol. 2020, No. 1. | en_US |
| dc.identifier.doi | 10.1186/s13662-020-02619-8 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-85083680114 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-020-02619-8 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12854 | |
| 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 | Cubic B-Spline Collocation Method | en_US |
| dc.subject | Time Fractional Differential Equation | en_US |
| dc.subject | Caputo'S Fractional Derivative | en_US |
| dc.subject | Stability And Convergence | en_US |
| dc.subject | Finite Difference Formulation | en_US |
| dc.title | Solving Time Fractional Burgers' and Fisher's Equations Using Cubic B-Spline Approximation Method | en_US |
| dc.title | Solving time fractional Burgers' and Fisher's equations using cubic B-spline approximation method | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Iqbal, Muhammad Kashif/0000-0003-4442-7498 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Majeed, Abdul/Jht-0587-2023 | |
| gdc.author.wosid | Iqbal, Muhammad Kashif/Hkm-9371-2023 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Majeed, Abdul; Kamran, Mohsin] Univ Educ, Dept Math, Div Sci & Technol, Lahore, Pakistan; [Iqbal, Muhammad Kashif] Govt Coll Univ, Dept Math, Faisalabad, Pakistan; [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.volume | 2020 | en_US |
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| gdc.oaire.keywords | Caputo’s fractional derivative | |
| gdc.oaire.keywords | Stability and convergence | |
| gdc.oaire.keywords | Quadrature Formulas | |
| gdc.oaire.keywords | Mathematical analysis | |
| gdc.oaire.keywords | Finite difference formulation | |
| gdc.oaire.keywords | Convergence Analysis of Iterative Methods for Nonlinear Equations | |
| gdc.oaire.keywords | B-spline | |
| gdc.oaire.keywords | QA1-939 | |
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| gdc.oaire.keywords | Anomalous Diffusion Modeling and Analysis | |
| gdc.oaire.keywords | Numerical Analysis | |
| gdc.oaire.keywords | Cubic B-spline collocation method | |
| gdc.oaire.keywords | Time-Fractional Diffusion Equation | |
| gdc.oaire.keywords | Statistical and Nonlinear Physics | |
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| gdc.oaire.keywords | Algorithm | |
| gdc.oaire.keywords | Time fractional differential equation | |
| gdc.oaire.keywords | Fractional Derivatives | |
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| gdc.oaire.keywords | Fractional Calculus | |
| gdc.oaire.keywords | Mathematics | |
| gdc.oaire.keywords | Rogue Waves in Nonlinear Systems | |
| gdc.oaire.keywords | Discretization | |
| gdc.oaire.keywords | Numerical computation using splines | |
| gdc.oaire.keywords | cubic B-spline collocation method | |
| gdc.oaire.keywords | time fractional differential equation | |
| gdc.oaire.keywords | Caputo's fractional derivative | |
| gdc.oaire.keywords | Fractional partial differential equations | |
| gdc.oaire.keywords | Error bounds for initial value and initial-boundary value problems involving PDEs | |
| gdc.oaire.keywords | finite difference formulation | |
| gdc.oaire.keywords | Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs | |
| gdc.oaire.keywords | stability and convergence | |
| gdc.oaire.keywords | Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs | |
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