Algebra of Symmetry Operators for Klein-Gordon-Fock 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.  

Generalized Conditional Symmetries, Related Solutions of the Klein–gordon–fock Equation with Central Symmetry

The generalized conditional symmetry (GCS) method is applied to a specific case of the Klein–Gordon–Fock (KGF) equation with central symmetry. We first investigate the conditions which yield the KGF equation that admits special class of secondorder GCSs. The determining system for the unknown functions is solved in several special cases. New symmetry operators and related exact solutions, diffe...

WAVELET SOLUTIONS OF THE 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.

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...