Operational Matrix Approach for Solving the Variable-Order Nonlinear Galilei Invariant Advection-Diffusion Equation
| dc.contributor.author | Baleanu, D. | |
| dc.contributor.author | Alzaidy, J. F. | |
| dc.contributor.author | Hashemizadeh, E. | |
| dc.contributor.author | Zaky, M. A. | |
| dc.date.accessioned | 2019-12-23T14:01:42Z | |
| dc.date.accessioned | 2025-09-18T14:09:32Z | |
| dc.date.available | 2019-12-23T14:01:42Z | |
| dc.date.available | 2025-09-18T14:09:32Z | |
| dc.date.issued | 2018 | |
| dc.description | Zaky, Mahmoud/0000-0002-3376-7238 | en_US |
| dc.description.abstract | In this paper, we investigate numerical solution of the variable-order fractional Galilei advection-diffusion equation with a nonlinear source term. The suggested method is based on the shifted Legendre collocation procedure and a matrix form representation of variable-order Caputo fractional derivative. The main advantage of the proposed method is investigating a global approximation for the spatial and temporal discretizations. This method reduces the problem to a system of algebraic equations, which is easier to solve. The validity and effectiveness of the method are illustrated by an easy-to-follow example. | en_US |
| dc.identifier.citation | Zaky, M. A...et al. (2018). "Operational matrix approach for solving the variable-order nonlinear Galilei invariant advection-diffusion equation", Advances in Difference Equations. | en_US |
| dc.identifier.doi | 10.1186/s13662-018-1561-7 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-85044267938 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-018-1561-7 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13423 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer international Publishing Ag | en_US |
| dc.relation.ispartof | Advances in Difference Equations | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Variable-Order Derivative | en_US |
| dc.subject | Nonlinear Galilei Invariant Advection-Diffusion Equation | en_US |
| dc.subject | Collocation Method | en_US |
| dc.subject | Legendre Polynomials | en_US |
| dc.title | Operational Matrix Approach for Solving the Variable-Order Nonlinear Galilei Invariant Advection-Diffusion Equation | en_US |
| dc.title | Operational matrix approach for solving the variable-order nonlinear Galilei invariant advection-diffusion equation | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Zaky, Mahmoud/0000-0002-3376-7238 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Hashemizadeh, Elham/Aao-9183-2021 | |
| gdc.author.wosid | Zaky, Mahmoud/B-2797-2015 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Zaky, M. A.] Natl Res Ctr, Dept Appl Math, Giza, Egypt; [Baleanu, D.] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, D.] Inst Space Sci, Magurele, Romania; [Alzaidy, J. F.] King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah, Saudi Arabia; [Hashemizadeh, E.] Islamic Azad Univ, Karaj Branch, Dept Math, Karaj, Iran | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.volume | 2018 | |
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| gdc.oaire.keywords | Convergence Analysis of Iterative Methods for Nonlinear Equations | |
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| gdc.oaire.keywords | QA1-939 | |
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| gdc.oaire.keywords | Nonlinear Galilei invariant advection–diffusion equation | |
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| gdc.oaire.keywords | Collocation method | |
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| gdc.oaire.keywords | Advection | |
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| gdc.oaire.keywords | Rogue Waves in Nonlinear Systems | |
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| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | Finite difference methods for initial value and initial-boundary value problems involving PDEs | |
| gdc.oaire.keywords | nonlinear Galilei invariant advection-diffusion equation | |
| gdc.oaire.keywords | variable-order derivative | |
| gdc.oaire.keywords | Fractional partial differential equations | |
| gdc.oaire.keywords | collocation method | |
| gdc.oaire.keywords | Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs | |
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