[PDF] Top 20 The Finite Difference Methods for –Nonlinear Klein Gordon Equation

... of nonlinear partial differential equations (PDEs) is an important and essential task in nonlinear ...the finite difference method. The short history of the finite difference ... See full document

... and nonlinear fractional Klein-Gordon ...essential difference with existing similar application four classical ex- amples also highlighted the significance of this ... See full document

... differential equation appear in many areas of scientific fields such as solid state physics, plasma physics, fluid dynamics, ma- thematical biology and chemical ...The nonlinear Klein-Gordon ... See full document

... Sine-Gordon equation is a nonlinear hyperbolic partial differential equation due to it including the d'Alembert operator and the sine of the unknown ...Codazzi equation for surfaces of ... See full document

... Klein-Gordon equation and the various other forms of the Nonlinear Klein-Gordon equa- tion are all studied extensively in an assortment of ...The equation has drawn a ... See full document

... numerical methods to solve the nonlinear Klein-Gordon equation such as the fi- nite difference method, the inverse scattering method, the auxiliary equation method, ... 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 this paper, the homotopy perturbation Sumudu transform method (HPSTM) is extended to solve linear and nonlinear fractional Klein-Gordon equations. To illustrate the reliability of the method, some ... See full document

... In [28], the existence and multiplicity of entire solutions were obtained via variational methods. Recently, in [31] Pucci and Zhang solved the above open problems mentioned in [26] for a class of quasilinear ... See full document

... chiral nonlinear Schrödinger equation (CNLS). The CNLS equation has two kinds of progressive wave solutions: bright and dark ...proposed methods are implicit, unconditionally stable and of ... See full document

... 3-coupled nonlinear Schrödinger equations using finite difference method and time splitting method combined with finite difference ...these methods to study the interaction ... See full document

... reasonable nonlinear function of u ...The equation was derived by Klein and Gordon as a relativistic equation for a charged particle in an electromagnetic field ...the equation ... See full document

... The statistical mechanics of kinks (that is, exact solitary waves) of non- linear coherent structures has been studied by two approaches. In the first approach one assumes that the kinks may be treated as weakly ... See full document

... the equation unchanged, and hence, they map the set of all solutions to ...reduction methods have been proposed, such as Lie-B¨ acklund symmetry, nonclassical symmetry, potential symmetry, ...for ... See full document

... of nonlinear fractional partial differential ...fractional nonlinear Klein-Gordon ...analytic methods, it provides us with a simple way to adjust and control the convergence region of ... See full document

... powerful methods have been used to investigate this class of partial differential equa- tion ...multi-symplectic finite differnce scheme, Spectral and pseudo-spectral methods ...coupled ... See full document

... Partial differential equations arise frequently in the formulation of fundamental laws of nature and in the ma- thematical analysis of a wide variety of problems in applied mathematics, mathematical physics, and ... See full document

... N = f max = f (y  ). (.) Therefore, using the convexity and monotony of f (y) and the conservation of energy, we can construct two invariant evolution flows generated by the evolutional system (.)-(.), as follows. ... See full document

... It is shown that quantum entanglement is the only force able to maintain the fourth state of matter, possessing fixed shape at an arbitrary volume. Accord- ingly, a new relativistic Schrödinger equation is derived ... See full document

... It is known that many nonlinear evolution equations have soliton solutions, such as the Korteweg de Vries equation, the Sin-Gordon equation, the nonlinear Schrödinger equation, the Kadom[r] ... See full document