Klein-Gordon-Fock equation from Einstein general relativity

Three-dimensional Einstein-Klein-Gordon system in characteristic numerical relativity

W. Barreto, A. Da Silva, R. Gómez, L. Lehner, L. Rosales, and J. Winicour Centro de Fı́sica Fundamental, Facultad de Ciencias, Universidad de los Andes, Mérida, Venezuela Department of Physics and Astronomy, 2002 Nicholson Hall, Louisiana State University, Baton Rouge, Louisiana 70803-4001, USA Pittsburgh Supercomputing Center, 4400 Fifth Avenue, Pittsburgh, Pennsylvania 15213, USA Department of...

WAVELET SOLUTIONS OF THE KLEIN-GORDON EQUATION

Nonlinear Klein-Gordon Equation

An extended ( ′ G )–expansion method is obtained by improving the form of solution in ( G′ G )– expansion method which is proposed in recent years. By using the extended ( ′ G )–expansion method and with the aid of homogeneous balance principle, many explicit and exact travelling wave solutions with two arbitrary parameters to the Klein-Gordon equation are presented, including the hyperbolic so...

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.

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.