University of Tabriz Computational Methods for Differential Equations 2345-3982 12 4 2024 09 01 An efficient computational method based on exponential B-splines for a class of fractional sub-diffusion equations 719 740 17747 10.22034/cmde.2024.57372.2398 EN Anshima Singh Department of Mathematical Sciences, Indian Institute of Technology (BHU) Varanasi, India. 0000-0001-6317-3011 Sunil Kumar Department of Mathematical Sciences, Indian Institute of Technology (BHU) Varanasi, India. Higinio Ramos Scientific Computing Group, Universidad de Salamanca, Plaza de la Merced, Salamancay, 37008, Spain. Journal Article 2023 07 04 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. https://cmde.tabrizu.ac.ir/article_17747_71f4d91173b85bcd4d83a5ff87b558bd.pdf