A New Iterative Method for the Approximate Solution of Klein-Gordon and Sine-Gordon Equations

Haar Wavelet Method for Solving the Klein-Gordon and the Sine-Gordon Equations

Abstract: Haar wavelet method for solving the Klein–Gordon and the sine-Gordon equations has been implemented. Application to partial differential equations is exemplified by solving the sine-Gordon equation. The efficiency of the method is demonstrated by five numerical examples. Computer simulation is carried out for problems the exact solution of which is known. This allows us to estimate th...

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

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.  

روش تجزیه ادومیان برای حل معادلات sine-gordon ,klein-gordon

چکیده ندارد.

The Modified New Iterative Method for Solving Linear and Nonlinear Klein-Gordon Equations

Abstract In [1] Varsha and Jaferi proposed an iterative method for solving nonlinear functional equations, viz. nonlinear Voltera integral equations, algebraic equations and system of ordinary differential equations. Then Sachin and Varsha [2] implemented this method to solve linear and nonlinear partial differential equations of integer and fractional order. The aim of this article is to propo...