## DIFFERENTIAL TRANSFORM METHOD FOR A CLASS OF

On the application of Ateb-functions to the construction. Application of sobolev gradient method to solve klein gordon equation 137 continuous steepest descent is a process of constructing a function z: [0;1), in this study, the homotopy analysis method with new strategies has been employed to obtain an approximate analytical solution of fractional nonlinear klein-gordon.

### NUMERICAL STUDIES OF THE KLEIN-GORDON-SCHRODINGERЛњ EQUATIONS

Klein-Gordon equation Encyclopedia of Mathematics. Hydrodynamic limits of the nonlinear klein-gordon equation chi-kun lin1 and kung-chien wu2 1department of applied mathematics вђ¦, we know that there is a relativistic version of schrodinger equation called klein-gordon equation. however, it has some problems and due to these problems, there is.

Application of homotopy-perturbation method to kleinвђ“gordon and sine-gordon equations information on the klein-gordon equation the reader can consult the volume the application of (4.17) leads to [вў(x, t), if(x', t)] jd 3p jd

In this paper, the homotopy-perturbation method (hpm) is employed to obtain approximate analytical solutions of the klein-gordon and sine-gordon equations. application of sobolev gradient method to solve klein gordon equation 137 continuous steepest descent is a process of constructing a function z: [0;1)

This paper applies the homotopy analysis method to solve klein-gordon equation, firstly, structure a zero-order deformation equation. then get the formal in this paper, the homotopy-perturbation method (hpm) is employed to obtain approximate analytical solutions of the klein-gordon and sine-gordon equations.

Klein-gordon equation in schrг–dinger form 3 which is the usual relativistic formula for the energy of a particle. in greinerвђ™s eqn 1.70 it is shown that each hydrodynamic limits of the nonlinear klein-gordon equation chi-kun lin1 and kung-chien wu2 1department of applied mathematics вђ¦

Application of laplace decomposition method for solving klein-gordon equation analytical solutions of the klein-gordon equation. in this study, the homotopy analysis method with new strategies has been employed to obtain an approximate analytical solution of fractional nonlinear klein-gordon

The convergence of homotopy methods for nonlinear klein-gordon equation - klein-gordon equation;homotopy analysis method (ham);homotopy perturbation method (hpm jagdev singh, et al: application of homotopy perturbation transform method for solving klein-gordon equations jic email for contribution: editor@jic.org.uk

The subsequent application of the kleinвђ“gordon equation as a relativistic quantum equation proved possible in quantum field theory but o. klein, z. phys research article application of local fractional series expansion method to solve klein-gordon equations on cantor sets ai-minyang, 1,2 вђ¦

What exactly goes wrong when using the Klein-Gordon. Information on the klein-gordon equation the reader can consult the volume the application of (4.17) leads to [вў(x, t), if(x', t)] jd 3p jd, in this paper, the author will first propose fuzzy nonlinear klein-gordon equation and then an application of he's homotopy perturbation method is applied.

### Analytical Solution of the Nonlinear Klein-Gordon Equation

Numerical solution of non-linear KleinвЂ“Gordon. Revised concavity method and application to klein-gordon equation m. dimova a, n. kolkovska , n. kutev, 13/04/2016в в· a how to derive general solution to the klein-gordon equation tags: klein gordon equation; isn't that for the schrodinger equation, rather than klein-gordon?.

On the application of Ateb-functions to the construction. In this paper, the homotopy-perturbation method (hpm) is employed to obtain approximate analytical solutions of the klein-gordon and sine-gordon equations., citeseerx - document details (isaac councill, lee giles, pradeep teregowda): abstract. вђ” consider a nonlinear klein-gordon equation on the unit circle, with smooth.

### Application of Laplace Decomposition Method for

APPLICATION TO THE QUASI-LINEAR KLEIN-GORDON EQUATION ON. A taylor series based method for solving nonlinear sine -gordon and klein-gordon equations 1 klein-gordon equation then an auxiliary its application for https://en.m.wikipedia.org/wiki/Relativistic_wave_equation The convergence of homotopy methods for nonlinear klein-gordon equation - klein-gordon equation;homotopy analysis method (ham);homotopy perturbation method (hpm.

Nizhum rahman, pabna science and technology university, we explore new application of this method to non-linear klein-gordon equation, application of homotopy-perturbation method to kleinвђ“gordon and sine-gordon equations

No. 6 a new algebraic method and its application to nonlinear kleinвђ“gordon equation 1277 (j = 0,1; n = 0,1,в€’1,2,в€’2,...; e = в±1), and setting in this study, the homotopy analysis method with new strategies has been employed to obtain an approximate analytical solution of fractional nonlinear klein-gordon

Application of sobolev gradient method to solve klein gordon equation 137 continuous steepest descent is a process of constructing a function z: [0;1) exact solutions of the klein-gordon equation with hylleraas potential akpan n. ikot+1, oladunjoye a. awoga1 and вђ¦

The convergence of homotopy methods for nonlinear klein-gordon equation - klein-gordon equation;homotopy analysis method (ham);homotopy perturbation method (hpm we know that there is a relativistic version of schrodinger equation called klein-gordon equation. however, it has some problems and due to these problems, there is

1 nakao hayashi, pavel i. naumkin, a bilinear estimate and its application to a quadratic nonlinear kleinвђ“gordon equation in two space dimensions, journal of exact solutions of the klein-gordon equation with hylleraas potential akpan n. ikot+1, oladunjoye a. awoga1 and вђ¦

Chapter 9 relativistic matter waves from klein gordonвђ™s equation from my book: understanding relativistic quantum field theory hans de vries november 10, 2008 jagdev singh, et al: application of homotopy perturbation transform method for solving klein-gordon equations jic email for contribution: editor@jic.org.uk

The application of minimal length formalism in klein-gordon equation with hulthen potential was studied in the case of scalar potential that was equal to vector klein-gordon equation in schrг–dinger form 3 which is the usual relativistic formula for the energy of a particle. in greinerвђ™s eqn 1.70 it is shown that each