In this work, the Residual Power Series Method(RPSM) is used to find the approximate solutions of Klein Gordon Schrödinger (KGS) Equation. Furthermore, to show the accuracy and the efficiency of the presented method, we compare the obtained approximate solution of Klein Gordon Schrödinger equation by Residual Power Series Method(RPSM) numerically and graphically with the exact solution.
2021-06
Journal of Mathematical and Computational Science
(Issue : 4)
(Volume : 11)
Numerical computation of successive approximations method and variational iteration method for solving Klein-Gordon Schrödinger equation
This paper is devoted to investigating and comparing the Successive Approximations Method (SAM) and Variational Iteration Method (VIM) for solving Klein-Gordon Schrödinger (KGS) Equation. Furthermore, the approximate solutions that obtained by both methods have been represented numerically and graphically.
2021-04
Thesis
2021-09-16
Some Numerical Methods for Solving Klein-Gordon Schrödinger Equation
In this thesis, we study Klein-Gordon Schrödinger (KGS) equation, which
describes a system of conserved scalar nucleons interacting with neutral
scalar mesons where the dynamics of these fields are coupled through the
Yukawa interaction. We solve the system numerically by using Successive
Approximations Method, Variational Iteration Method and Residual Power
Series Method.
