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Journals / Hacettepe Journal of Mathematics and Statistics / 2018 / Cilt: 47 - Sayı: 3

A spectral technique for solving two-dimensional fractional integral equations with weakly singular kernel

Dumitru BALEANU
Ali H. BHRAWY
Mohamed A. ABDELKAWY
Ahmed Z. M. AMİN
Pages
553–566
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Thus, the novel algorithm is more responsible for solving two-dimensional fractional integral equations with weakly singular.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This paper adapts a new numerical technique for solving two-dimensional fractional integral equations with weakly singular.
📊
Key Findings & Data:Using the spectral collocation method, the fractional operators of Legendre and Chebyshev polynomials, and Gauss-quadrature formula, we achieve a reduction of given problems into those of a system of algebraic equations.
💡
Conclusion & Impact:Thus, the novel algorithm is more responsible for solving two-dimensional fractional integral equations with weakly singular.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Two-dimensional fractional integral equations with weakly singular · Spectral collocation method · Gauss quadrature

Abstract

This paper adapts a new numerical technique for solving two-dimensional fractional integral equations with weakly singular. Using the spectral collocation method, the fractional operators of Legendre and Chebyshev polynomials, and Gauss-quadrature formula, we achieve a reduction of given problems into those of a system of algebraic equations. We apply the reported numerical method to solve several numerical examples in order to test the accuracy and validity. Thus, the novel algorithm is more responsible for solving two-dimensional fractional integral equations with weakly singular.

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Cite This Article

BALEANU, D., BHRAWY, A. H., ABDELKAWY, M. A., AMİN, A. Z. M. (2022). A spectral technique for solving two-dimensional fractional integral equations with weakly singular kernel. Hacettepe Journal of Mathematics and Statistics, Cilt: 47 - Sayı: 3, 553–566. https://ajindex.com/articles/529858

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