This study presents a comparative analysis of two numerical methods for pricing multi-asset options under the Black-Scholes (B-S) framework: an explicit finite difference method (EFDM) without far-field boundary conditions and an implicit operator splitting method (OSM). The proposed EFDM introduces a novel adaptive domain reduction technique combined with a Saul’yev-type asymmetric temporal discretization, ensuring unconditional stability while eliminating the need for restrictive time-step constraints a significant improvement over conventional explicit schemes. Numerical experiments demonstrate that the implicit OSM achieves higher accuracy in pricing two-asset options; however, the enhanced EFDM offers computational efficiency. The findings suggest that the domain reduction strategy provides a suitable alternative for high-dimensional option pricing, particularly in scenarios where computational cost is a critical consideration.
