A novel fitted numerical scheme for time-fractional singularly perturbed convection-diffusion problems with a delay in time via cubic $B$-spline approach

	A novel fitted numerical scheme for time-fractional singularly perturbed convection-diffusion problems with a delay in time via cubic $B$-spline approach
Journal of Mathematical Modeling
مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 25 دی 1402 اصل مقاله (369.02 K)
نوع مقاله: Research Article
شناسه دیجیتال (DOI): 10.22124/jmm.2023.25969.2303
نویسندگان
Worku Tilahun Aniley^* ؛ Gemechis File Duressa
Department of Mathematics, Jimma University, Jimma, Ethiopia
چکیده
This paper presents a uniformly convergent numerical scheme for time-fractional singularly perturbed convection-diffusion problem with delay in time. The time-fractional derivative is considered in the Caputo sense and treated using the implicit Euler method. Then, a uniformly convergent numerical scheme based on cubic $B$-spline method is developed along the spatial direction. The technique is proved rigorously for parameter-uniform convergence. By a numerical experimentation, it is also validated that the computational result agrees with the theoretical expectation and it is also more accurate than some existing numerical methods.
کلیدواژه‌ها
Time-fractional؛ convection-diffusion؛ uniformly convergent؛ cubic $B$-spline

آمار تعداد مشاهده مقاله: 81 تعداد دریافت فایل اصل مقاله: 104

سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب