Department of Mathematics, University of Petroleum & Energy Studies, Dehradun, India
Online published on 11 April, 2014.
In this paper, a numerical Elzaki transform algorithm which is based on the decomposition method is introduced for the approximate solution of a class of nonlinear partial differential equation. The technique is described and illustrated with Black-Scholes partial differential equation. The present technique has closed agreement with approximate solution obtained with the help of Adomian Decomposition Method (ADM).
Black-Scholes equation, Decomposition method, Elzaki transform, Stock prices