This paper is organized in the following ways: In the first part, we obtained the Klein Gordon Equation (KGE) in the Galilean space. In the second part, we applied Homotopy Perturbation Method (HPM) to this differential equation. In the third part, we gave two examples for the Klein Gordon equation. Finally, We compared the numerical results of this differential equation with their exact results. We also showed that approach used is easy and highly accurate.
Bulut, Hasan and Başkonuş, H. M.
On The Geometrıc Interpretatıons of The Kleın-Gordon Equatıon And Solution of The Equation by Homotopy Perturbation Method,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 7,
2, Article 10.
Available at: https://digitalcommons.pvamu.edu/aam/vol7/iss2/10