Spectral collocation algorithm for the fractional Bratu equation via Hexic shifted Chebyshev polynomials
نویسندگان
1 Department of Mathematics, Faculty of Science, Galala University, Egypt.
2 Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Cairo 11341, Egypt.
3 Department of Mathematics, Faculty of Science, Galala University, Egypt.
4 Department of Mathematics, Faculty of Science, Galala University, Egypt.
5 Department of Mathematics, Faculty of Science, Cairo University, Giza 12613, Egypt.
doi
10.22034/cmde.2024.61045.2621چکیده
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
