An Analysis on Exact Solution of Klein–Gordon Equation: a Relativistic Version of the Schrodinger Equation: Exploring numerical methods and electromagnetic interactions in the Klein-Gordon equation

Abstract

In the present paper is to understand and compare variousnumerical methods for solving the nonlinear Klein–Gordon (KG) equation. Thenonlinear KG equation might be viewed as the most simplest form of the chargedklein-gordon field. We derive exact analysis about physical problems of theKlein-Gordon equation and to introduce electromagnetic interactions into the KGequation.