A discrete homotopy perturbation method for non-linear Schrodinger
equation
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