The Finite Difference Methods for φ4 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

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.  

Invariant-conserving finite difference algorithms for the nonlinear Klein-Gordon equation

A formalism for SystematicaIIy deriving second order accurate finite difference algorithms which conserve certain invariant quantities in the original nonlinear PDEs is presented. Three algorithms are derived for the nonlinear Klein-Gordon equation (NLKGE) based on the proposed formalism. The local conservation laws of the NLKGE form the basic starting point in our derivation, which hinges esse...

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