H. A. Wahab Khalid Usman Muhammad Naeem Sarfraz Ahmad Saira Bhatti Muhammad Shahzad Hazrat Ali Department of Mathematics, Hazara University, Manshera, Pakistan Department of IT, Abbottabad University of Science and Technology, Abbottabad, Pakistan Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad, Pakistan Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad, Pakistan Computational Ecology and Software ISSN 2220-721X http://www.iaees.org/publications/journals/ces/online-version.asp 2015 5 4 380 388 International Academy of Ecology and Environmental Sciences Hong Kong 12 July 2015 20 August 2015 1 December 2015 discrete homotopy perturbation method nonlinear models discretisation A general analysis is made by homotopy perturbation method while taking the advantages of the initial guess, appearance of the embedding parameter, different choices of the linear operator to the approximated solution to the non-linear Schrodinger equation. We are not dependent upon the Adomian polynomials and find the linear forms of the components without these calculations. The discretised forms of the nonlinear Schrodinger equation allow us whether to apply any numerical technique on the discritisation forms or proceed for perturbation solution of the problem. The discretised forms obtained by constructed homotopy provide the linear parts of the components of the solution series and hence a new discretised form is obtained. The general discretised form for the NLSE allows us to choose any initial guess and the solution in the closed form. DOI 10.0000/issn-2220-721x-compuecol-2015-v5-0028 http://www.iaees.org/publications/journals/ces/articles/2015-5(4)/discrete-homotopy-perturbation-method-for-non-linear-Schrodinger-equation.pdf