Çankaya GCRIS Standart veritabanının içerik oluşturulması ve kurulumu Research Ecosystems (https://www.researchecosystems.com) tarafından devam etmektedir. Bu süreçte gördüğünüz verilerde eksikler olabilir.
 

A Computational Approach Based On The Fractional Euler Functions And Chebyshev Cardinal Functions For Distributed-Order Time Fractional 2D Diffusion Equation

dc.contributor.authorHeydari, M. H.
dc.contributor.authorHosseininia, M.
dc.contributor.authorBaleanu, D.
dc.contributor.authorID56389tr_TR
dc.date.accessioned2023-11-09T12:25:18Z
dc.date.available2023-11-09T12:25:18Z
dc.date.issued2023
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this paper, the distributed-order time fractional diffusion equation is introduced and studied. The Caputo fractional derivative is utilized to define this distributed-order fractional derivative. A hybrid approach based on the fractional Euler functions and 2D Chebyshev cardinal functions is proposed to derive a numerical solution for the problem under consideration. It should be noted that the Chebyshev cardinal functions process many useful properties, such as orthogonal-ity, cardinality and spectral accuracy. To construct the hybrid method, fractional derivative oper-ational matrix of the fractional Euler functions and partial derivatives operational matrices of the 2D Chebyshev cardinal functions are obtained. Using the obtained operational matrices and the Gauss-Legendre quadrature formula as well as the collocation approach, an algebraic system of equations is derived instead of the main problem that can be solved easily. The accuracy of the approach is tested numerically by solving three examples. The reported results confirm that the established hybrid scheme is highly accurate in providing acceptable resultsen_US
dc.description.publishedMonth3
dc.identifier.citationHeydari, M. H.; Hosseininia, M.; Baleanu, D. (2023). "A Computational Approach Based On The Fractional Euler Functions And Chebyshev Cardinal Functions For Distributed-Order Time Fractional 2D Diffusion Equation", Alexandrıa Engineering Journal, Vol. 67, pp. 643-653.en_US
dc.identifier.doi10.1016/j.aej.2022.12.065
dc.identifier.endpage653en_US
dc.identifier.issn1110-0168
dc.identifier.startpage643en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/6558
dc.identifier.volume67en_US
dc.language.isoenen_US
dc.publisherAlexandrıa Engineering Journalen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectFractional Euler Functionsen_US
dc.subjectChebyshev Cardinal Functionsen_US
dc.subjectDistributed-Order Fractional Derivativeen_US
dc.subjectDiffusion Equationen_US
dc.titleA Computational Approach Based On The Fractional Euler Functions And Chebyshev Cardinal Functions For Distributed-Order Time Fractional 2D Diffusion Equationtr_TR
dc.titleA Computational Approach Based on the Fractional Euler Functions and Chebyshev Cardinal Functions for Distributed-Order Time Fractional 2d Diffusion Equationen_US
dc.typeArticleen_US
dspace.entity.typePublication

Files

Original bundle

Now showing 1 - 1 of 1
Loading...
Thumbnail Image
Name:
Article.pdf
Size:
2 MB
Format:
Adobe Portable Document Format
Description:
Yayıncı sürümü

License bundle

Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.71 KB
Format:
Item-specific license agreed upon to submission
Description: