Two-dimensional distributed order cable equation with non-singular kernel: a nonstandard implicit compact finite difference approach

• Autorzy: Sweilam, Nasser H. , Ahmed, Shimaa M. , AL-Mekhlafi, Seham M.
• Języki publikacji: EN

Abstrakty

EN

In this work, a higher-order nonstandard implicit compact finite difference technique is used to study a two-dimensional nonlinear distributed order Cable problem. The distributed fractional order is defined in the Atangana-Baleanu sense. The key advantage of this strategy is the large stability areas it implicitly has. A particular focus is on examining the stability analysis of the proposed scheme through the application of the Jon Von Neumann approach. We show the effectiveness of the numerical scheme using two numerical examples, and we compare our results with the published literature to check the accuracy of the approach we have presented. The technique is a helpful tool for modeling this model, as demonstrated by the results.

Słowa kluczowe

PL

Równanie ułamkowe 2D; pochodne ułamkowe; niejawny kompaktowy FDM; analiza stateczności; podejście Jona Von Neumanna

EN

2D-distributed fractional Cable equation; fractional derivatives; nonstandard implicit compact FDM; stability analysis; Jon Von Neumann approach

• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2024
• Tom: Vol. 23, nr 2
• Strony: 93--104
• Opis fizyczny: Bibliogr. 23 poz., rys., tab.

Twórcy

autor

Sweilam, Nasser H.

• Department of Mathematics, Faculty of Science, Cairo University Giza, Egypt,

autor

Ahmed, Shimaa M.

• Department of Mathematics, Faculty of Science, Cairo University Giza, Egypt,

autor

AL-Mekhlafi, Seham M.

• Mathematics Department, Faculty of Education, Sana’a University, Yemen,

Bibliografia

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• 19. Baleanu, D., Jajarmi, A., Bonyah, E., & Hajipour, M. (2018). New aspects of poor nutrition in the life cycle within the fractional calculus. Advances in Difference Equations, 2018(1), 1-14.
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Identyfikatory

DOI

10.17512/jamcm.2024.2.08