A Variational Formulation for the Relativistic Klein-Gordon Equation

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.

WAVELET SOLUTIONS OF THE KLEIN-GORDON EQUATION

Numerical solution of Klein-Gordon equation by using the Adomian's decomposition and variational iterative methods

Relativistic superfluidity and vorticity from the nonlinear Klein-Gordon equation

Citation Xiong, Chi, et al. "Relativistic superfluidity and vorticity from the nonlinear Klein-Gordon equation. Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. We ...

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.