Study on eficiency of the Adomian decomposition method for stochastic differential equations

Many time-varying phenomena of various elds in science and engineering can be modeled as a stochastic di erential equations, so investigation of conditions for existence of solution and obtain the analytical and numerical solutions of them are important. in this paper, the adomian decomposition method for solution of the stochastic di erential equations are improved. uniqueness and convergence of their adapted solutions are reviewed. the eficiency of the method is demonstrated through the two numerical experiments.