Spectral collocation algorithm for the fractional Bratu equation via Hexic shifted Chebyshev polynomials

Atta, Ahmed Gamal; Soliman, Jomana Farag; Elsaeed, Elaf Wael; Elsaeed, Mostafa Wael; Youssri, Youssri Hassan

doi:10.22034/cmde.2024.61045.2621

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	Spectral collocation algorithm for the fractional Bratu equation via Hexic shifted Chebyshev polynomials
Computational Methods for Differential Equations
مقاله 2، دوره 13، شماره 4، دی 2025، صفحه 1102-1116 اصل مقاله (584.37 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2024.61045.2621
نویسندگان
Ahmed Gamal Atta¹؛ Jomana Farag Soliman²؛ Elaf Wael Elsaeed²؛ Mostafa Wael Elsaeed²؛ Youssri Hassan Youssri^* ³
¹Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Cairo 11341, Egypt.
²Department of Mathematics, Faculty of Science, Galala University, Egypt.
³Department of Mathematics, Faculty of Science, Cairo University, Giza 12613, Egypt.
چکیده
This paper offers a numerical collocation scheme for solving the fractional nonlinear Bratu differential equation. We obtain a system of nonlinear equations using our spectral collocation method, which we then solve iteratively using Newton’s method to obtain an approximate solution. Additionally, numerical comparisons are made between the proposed strategy and several numerical strategies documented in various literature. The numerical findings verify the accuracy, computational efficiency, and ease of use of the recommended approach
کلیدواژه‌ها
Chebyshev polynomials؛ Collocation method؛ Bratu differential equation

مراجع
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Spectral collocation algorithm for the fractional Bratu equation via Hexic shifted Chebyshev polynomials