On comparison of approximate solutions for linear and nonlinear schrodinger equations

Abstract

In this paper, homotopy analysis transform method and residual power series method for solving linear and nonlinear Schrodinger equations are introduced. Residual power series algorithm gets Maclaurin expansion of the numerical soliton solutions. The solutions of our equations are computed in the form of rapidly convergent series with easily calculable components by using mathematica software package. Reliability of methods are given graphical consequens and series solutions are made use of to illustrate the solution. The approximate solutions are compared with the known exact solutions.