A numerical study of anomalous electro-diffusion cells in cable sense with a non-singular kernel

• Autorzy: Iqbal Azhar , Akram Tayyaba

Identyfikatory

DOI

10.1515/dema-2022-0155

• Języki publikacji: EN

Abstrakty

EN

The time-fractional cable model is solved using an extended cubic B-spline (ECBS) collocation strategy. The B-spline function was used for space partitioning, while the Caputo-Fabrizio (CF) was used for temporal discretization. The finite difference technique was used to discretize the CF operator. For the first time in cable modeling, the CF operator has been used. In terms of time, the convergence of order τ . An ECBS collocation approach is investigated by numerical example at different values, and comparisons with published work are made. The numerical results show that the scheme performed well, and the graphical representations show that the results are very close to exact values. The Von Neumann technique is applied to investigate the stability of the proposed scheme.

Słowa kluczowe

EN

B-spline functions; Caputo-Fabrizio operator; time-fractional cable model

PL

funkcja sklejana; operator Caputo-Fabrizio; model ułamkowy

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2022
• Tom: Vol. 55, nr 1
• Strony: 574--586
• Opis fizyczny: Bibliogr. 34 poz., tab., wykr.

Twórcy

autor

Iqbal Azhar

• Department of Mathematics and Natural Sciences, Prince Mohammad Bin Fahd University, 31952 Al Khobar, Saudi Arabia

autor

Akram Tayyaba

• Department of Mathematics, COMSATS Institute of Information Technology, Lahore, 54000, Pakistan

Bibliografia

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Uwagi

PL

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).