Nonuniform finite difference scheme for the three-dimensional time-fractional Black-Scholes equation
Summary: In this study, we present an accurate and efficient nonuniform finite difference method for the three-dimensional (3D) time-fractional Black-Scholes (BS) equation. The operator splitting scheme is used to efficiently solve the 3D time-fractional BS equation. We use a nonuniform grid for pricing 3D options. We compute the three-asset cash-or-nothing European call option and investigate the effects of the fractional-order \(\alpha\) in the time-fractional BS model. Numerical experiments demonstrate the efficiency and fastness of the proposed scheme.
scientific article; zbMATH DE number 7452511
scientific article