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پایگاه استنادی علوم جهان اسلام (ISC)

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Singh, Anshima, Kumar, Sunil, Ramos, Higinio. (1403). An efficient computational method based on exponential B-splines for a class of fractional sub-diffusion equations. سامانه مدیریت نشریات علمی, 12(4), 719-740. doi: 10.22034/cmde.2024.57372.2398
Anshima Singh; Sunil Kumar; Higinio Ramos. "An efficient computational method based on exponential B-splines for a class of fractional sub-diffusion equations". سامانه مدیریت نشریات علمی, 12, 4, 1403, 719-740. doi: 10.22034/cmde.2024.57372.2398
Singh, Anshima, Kumar, Sunil, Ramos, Higinio. (1403). 'An efficient computational method based on exponential B-splines for a class of fractional sub-diffusion equations', سامانه مدیریت نشریات علمی, 12(4), pp. 719-740. doi: 10.22034/cmde.2024.57372.2398
Singh, Anshima, Kumar, Sunil, Ramos, Higinio. An efficient computational method based on exponential B-splines for a class of fractional sub-diffusion equations. سامانه مدیریت نشریات علمی, 1403; 12(4): 719-740. doi: 10.22034/cmde.2024.57372.2398

An efficient computational method based on exponential B-splines for a class of fractional sub-diffusion equations

Computational Methods for Differential Equations
مقاله 7، دوره 12، شماره 4، دی 2024، صفحه 719-740    اصل مقاله (2.29 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2024.57372.2398
نویسندگان
Anshima Singh* 1؛ Sunil Kumar1؛ Higinio Ramos2
1Department of Mathematical Sciences, Indian Institute of Technology (BHU) Varanasi, India.
2Scientific Computing Group, Universidad de Salamanca, Plaza de la Merced, Salamancay, 37008, Spain.
چکیده
The primary objective of this research is to develop and analyze a robust computational method based on exponential B splines for solving fractional sub-diffusion equations. The fractional operator includes the Mittag-Leffler function of one parameter in the form of a kernel that is non-local and non-singular in nature. The current approach is based on an effective finite difference method for discretizing in time, and the exponential B-spline functions for discretizing in space. The proposed scheme is proven to be unconditionally stable and convergent. Also, the unique solvability of the method is established. Numerical simulations conducted for multiple test examples validate the agreement between the obtained theoretical results and the corresponding numerical outcomes.
کلیدواژه‌ها
Fractional sub-diffusion equation؛ Time fractional derivative؛ Exponential B-spline collocation؛ Stability analysis؛ Error bounds
مراجع
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