Author/Authors :
Ahmad، Jamshad نويسنده Department of Mathematics, Faculty of Sciences, University of Gujrat, Pakistan , , Hussain، Faizan نويسنده Department of Mathematics, Faculty of Sciences, University of Gujrat, Pakistan , , Siddique، Iffat نويسنده Govt I. D. Janjua College for Women, Gujrat Pakistan , , NAEEM، MUHAMMAD نويسنده ,
Abstract :
In this paper, we apply two techniques Laplace Decomposition Method (LDM) and Variational Iteration Method (VIM) to determine the analytical solutions of Schr?dinger equation with cubic non-linearities. To assess the accuracy of the solutions, we compare the results with exact solutions, revealing that both methods are capable of solving effectively a large number of nonlinear differential equations with high accuracy. Numerical results show the explicitly reveal the complete reliability and efficiency of the suggested algorithm.
