[PDF] Top 20 Numerical Solution of Nonlinear Klein Gordon Equation Using Lattice Boltzmann Method

... macroscopic equation, the lattice Boltzmann method (LBM) has achieved much success in studying nonlinear equations and the evolution of complex systems ...the lattice ... See full document

... exact solution of the Klein-Gordon equation is of high impor- tance for mixed scalar and vector ...exact solution of the Klein-Gordon for a num- ber of special potential ... See full document

... a numerical scheme to approximate solutions of the nonlinear Klein-Gordon equation by applying the multiquadric quasi-interpolation scheme and the integrated radial basis function ... See full document

... transform method was applied to solve time-fractional order linear and nonlinear Klein–Gordon ...time-fractional Klein–Gordon ...trial equation method had been ... See full document

... a numerical model to simulate long waves, such as storm surge or tsunami, propagation and ...and nonlinear mechanics very recently, Song and Zhang [] solved the fractional KdV-Burgers-Kuramoto ... See full document

... and numerical solutions, in particular, traveling wave solutions, of nonlinear equations in mathematical physics plays an important role in nonlinear ...of nonlinear partial differential ... See full document

... of numerical methods, spectral methods are one of the most popular methods of discretization for the numerical solution of partial differential equations and integral ...this method lies in ... See full document

... the Boltzmann equation under the assumptions of molecular chaos and binary ...a nonlinear collision operator, where the intermolecular potential is incorporated into the collision ... See full document

... 1D nonlinear consolidation analysis of saturated soil subjected to time-dependent loading under different types of boundary ...mesoscopic lattice Boltzmann equation to macroscopic ... 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

... the nonlinear Klein-Gordon ...implicit method, the order of the equation is reduced to give a coupled system of nonlinear partial differen- tial ...present method are ... 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

... By using the division theorem for two variables in complex domain C x y [ ] , which is based on the Hilbert- Nullstellensatz theorem [4], we can obtain a first integral to Equation (9) which can applied to ... 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 elliptic ... See full document

... transform method (HPSTM) to solve li- near and nonlinear fractional Klein-Gordon ...the method, some examples are ...transform method, the pre- sented work showed some essential ... See full document

... transform method (HPSTM) is extended to solve linear and nonlinear fractional Klein-Gordon ...the method, some examples are ...transform method, the presented work shows some ... See full document

... decomposition method (ADM) to obtain exact solution to Nonlinear Klein-Gordon equation (NK-GE) with quadratic ...exact solution to two one-dimensional NK-GE with quadratic ... See full document

... sine-Gordon equation appears for instance in the study of long Josephson junctions between superconductors when dissipative effects are taken into account ...differential equation with different ... See full document

... gral dierential equations using the modied Adomian deomposition method, Com-. put[r] ... See full document

... Abstract:- Klein Gordon equation has been solved numerically by using fully implicit finite difference method (FIFDM) and exponential finite difference method (ExpFDM) and we ... See full document