University of Tabriz Computational Methods for Differential Equations 2345-3982 14 2 2026 04 01 Implicit cubic B-spline quasi-interpolation for solving the generalized distributed-order time-fractional Black-Scholes equation 947 957 19749 10.22034/cmde.2025.64886.2956 EN Roya Montazeri Department of Mathematics, Payame Noor University (PNU), P.O.Box 19395-4697, Tehran, Iran. Journal Article 2024 12 06 In this study, we implicitly solve the generalized distributed-order time-fractional Black-Scholes equation. We employ finite differences to approximate the time derivatives and cubic B-spline quasi-interpolation for the spatial derivatives. The error analysis of the presented method is investigated. The algorithm of this method is also presented, which shows the simplicity of implementing the method to solve  the generalized distributed-order time-fractional Black-Scholes equation. Numerical results demonstrate the method’s convergence rate and accuracy. https://cmde.tabrizu.ac.ir/article_19749_f8ccf4d0bca74d38982f1098c89bb777.pdf