Shifted 1/Nexpansion for the Klein-Gordon equation with vector and scalar potentials

The Dirac and Klein-Gordon equations with equal scalar and vector potentials

We study the three-dimensional Dirac and Klein-Gordon equations with scalar and vector potentials of equal amplitudes as an attempt to present a critique for the interpretation of this class of problems which has recently been accumulating interest. We consider a large class of these problems in which the potentials are noncentral (angulardependent) such that the equations separate completely i...

Analytical solutions for the fractional Klein-Gordon equation

In this paper, we solve a inhomogeneous fractional Klein-Gordon equation by the method of separating variables. We apply the method for three boundary conditions, contain Dirichlet, Neumann, and Robin boundary conditions, and solve some examples to illustrate the effectiveness of the method.

Exact analytical solution to the relativistic Klein-Gordon equation with non-central equal scalar and vector potentials

Fevziye Yasuk, Aysen Durmus and Ismail Boztosun Department of Physics, Erciyes University, 38039 Kayseri Turkey Abstract We present an alternative and simple method for the exact solution of the Klein-Gordon equation in the presence of the non-central equal scalar and vector potentials by using Nikiforov-Uvarov (NU) method. The exact bound state energy eigenvalues and corresponding eigenfunctio...

WAVELET SOLUTIONS OF THE KLEIN-GORDON EQUATION

B-SPLINE COLLOCATION APPROACH FOR SOLUTION OF KLEIN-GORDON EQUATION

We develope a numerical method based on B-spline collocation method to solve linear Klein-Gordon equation. The proposed scheme is unconditionally stable. The results of numerical experiments have been compared with the exact solution to show the efficiency of the method computationally. Easy and economical implementation is the strength of this approach.