[PDF] Top 20 The second order Klein Gordon field equation

... generalized Klein-Gordon second-order partial differential equation in the Robertson-Walker space-time, using the Casimir second-order invariant op- erator written in ... See full document

... The Mittag-Leffler function is an important function that finds widespread use in the world of fractional calculus. Just as the exponential naturally arises out of the solution to integer order differential equations, ... See full document

... wave equation th e H ilbert space analysis leading to its solu­ tion was originally laid down by von N eum ann [26], and as we have alluded to, used also by W ald [16] [18] to establish determ inistic dynam ics in ... See full document

... nonlinear Klein-Gordon equation by applying the multiquadric quasi-interpolation scheme and the integrated radial basis function network ...nonlinear Klein-Gordon equation ... See full document

... nonlinear Klein-Gordon equation under ...a second-order approximation to the exact solution of our ...in order to achieve consistency to the second ...our equation ... See full document

... differential equation satisfied by a particular homogenous function can lead to the nonlinear Klein-gordon ...the Klein-Gordon equation was investigated in different aspects in ... See full document

... in order to solve the D-dimensional radial KG equation for any orbital angular momentum number l for the scalar and vector Eckart-type potentials using a gen- eral mathematical model of the NU ... See full document

... The homotopy perturbation method (HPM) is extended to drive the exact solutions for linear (nonlinear) ordinary (partial) differential equations of fractional order. The homotopy perturbation method is also ... See full document

... u. Equation (1) and the given initial values is a generalised three-dimensional case of ...u equation (1) becomes sine-Gordon equation, which could also be sinh-Gordon equation, ... See full document

... Schrodinger, Klein, Gordon and Dirac ...Schrodinger equation is not sensitive to rest mass ...acceptable, Klein - Gordon and Dirac equation are not sensitive to field ... See full document

... w x = h x w x = k x (2) appears in modeling of problems in quantum field theory, relativistic physics, dispersive wave phenomena, plasma physic, nonlinear optics and applied physical sciences. The complexity of ... See full document

... in order to extend the lattice Boltzmann method to deal with more nonlinear equations, a one- dimensional (1D) lattice Boltzmann scheme with an amending function for the nonlinear Klein-Gordon ... See full document

... satisfying Klein-Gordon ...conservation equation is shown to be invariant under these ...Maxwell’s equation should be modified to incorporate interactions experienced by electromagnetic ... See full document

... the Klein-Gordon equation in ...of second order to the matrix exponential term in a three-time level recurrence relation is applied to the nonlinear Klein-Gordon ... See full document

... the order of pion rest mass require a fully relativi- stic treatment to describe the reaction of the ...full Klein-Gordon (K-G) equation unlike all previous ones which were usually done within ... See full document

... differential equation frequently appear in variety of applications [9, 10], so lots of scientists have been focused on solving them, but unfortunately most of these equations do not have exact solutions, so for ... See full document

... in second order phase transitions, or polymerization ...The equation was first proposed by Aubry , Krumhansl and Schrieffer in 1975 and 1976, to describe displacive and order-disorder ... See full document

... in order to have the utmost result from the methods, combination of Lie symmetry method and perturbations are investigated and two different so-called approximate symmetry methods have been ...The second ... See full document

... Riemann-Liouville sense and a stability analysis of the numerical scheme Theorem  Let f be a function not necessary differentiable within an interval [a, T ], then the fractional derivative of f of order  < α ... See full document

... limit equation and on the Pad´e approximations above. At leading order all equations have the same solution, but at higher-order, there are subtle differences between the continuum formulation and ... See full document