The numerical solution of time fractional generalized Benjamin-Bona-Mahony equation via the Sinc functions

	The numerical solution of time fractional generalized Benjamin-Bona-Mahony equation via the Sinc functions
International Journal of Nonlinear Analysis and Applications
مقاله 216، دوره 14، شماره 1، فروردین 2023، صفحه 2759-2770 اصل مقاله (460.01 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.24121.2673
نویسنده
Ali Barati^*
Islamabad Faculty of Engineering, Razi University, Kermanshah, Iran
چکیده
The aim of this paper is to analyze a numerical method for solving the time fractional Benjamin-Bona-Mahony (BBM) equation. The time variable has been discretized by using the finite forward difference procedure. The unconditionally stable semi-discrete formula has been proven. Then we apply the Sinc collocation method to approximate the solution of the semi-discrete scheme. The exponential convergence rate of the Sinc method has also been proven. To show the efficiency of the proposed method, two examples were given. Numerical results verified the theoretical results and illustrate the efficiency and accuracy of the method compared with other methods.
کلیدواژه‌ها
Fractional Benjamin-Bona-Mahony equation, Unconditionally stable؛ Sinc-collocation method, Convergence analysis
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