Reduced differential transform method for Solving Black-Scholes European options model in the sense of powered modified log-payoff function

This paper presents an analytical approach for Black-Scholes European options model in the sense of powered modified log-payoff functions. This approach is based on the reduced differential transform method (RDTM). The solutions are obtained by using RDTM. The techniques involved are simple, easy, and adaptable, without sacrificing accuracy. With less computational time, the desired explicit solutions are obtained. As a result, it is assumed that the assets are driven by geometric Brownian motion and do not pay dividends.