[PDF] Top 20 Numerical analysis for the Klein Gordon equation with mass parameter

... its numerical approximation is not popular in the ...the numerical approximation of the three Riemann-Liouville types of fractional derivatives ...the numerical approximation ... See full document

... differential equation such as evolution equation, reaction diffu- sion equation, Schrodinger type wave equations, Vander Poll’s equation, Telegraph equation, Lyapunov equation ... See full document

... several numerical methods have been introduced for this purpose, such as: the homotopy pertur- bation method (HPM) has first proposed by He [6]-[8], the Modified homotopy perturbation method (MHPM) [9], the ... See full document

... Some numerical methods are also popular, such as the homotopy perturbation method (HPM) [6]-[8], the modified homotopy perturbation method (MHPM) [9], the differential transform method (DTM) [10], the varia- ... See full document

... a numerical model to simulate long waves, such as storm surge or tsunami, propagation and ...KdV-Burgers-Kuramoto equation us- ing ...a numerical solution for the fractional BBM-Burgers ...homotopy ... See full document

... where c is the velocity of the traveling wave [34]. The existence of this real an- alytical solutions depends on the the condition −1 < c < 1. The wave travels along the x−axis to the right or to the left due to ... See full document

... and sinh(5u) − 5u, initial data φ(r) = 0 and ψ(r) = 100h(r), and ∆r = ∆t = 0.002. This figure together with the information on the relative differences of these solutions with respect to the undamped case contained in ... See full document

... derivatives. Numerical experiments and theoretical analysis indicate that for solving partial differential equations, integrated RBF (IRBF) procedure is more accurate in comparison with direct RBF (DRBF) ... See full document

... and the boundary condition y (0) − hy(0) = 0; here q is a complex-valued function, and h ∈ C. The spectral analysis of L was first investigated by Na˘ımark [6]. In this paper, he has proved that some of the poles ... See full document

... The classical Lie Symmetry method, originally introduced by Sophus Lie (1895), was popularized in [13] and presented in a modern form using the jet space theory in [11]. This method leads us to one-parameter group ... See full document

... macroscopic equation can be recovered in the multi-scale analysis using a small expansion parameter  which is proportional to the ration of the lattice spac- ing to the characteristic macroscopic ... See full document

... where F C,D is the upper (large) component and g C,D is the lower (small) component of the Dirac spinors. J KL M N, O and J KL MQ N, O are spin and pspin spherical harmonics, respectively, and R is the projection of the ... 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

... equivalent equation; however, the dynamical variables are ...Poisson equation have described the con- ditions related to conformal symmetries of kinematic ...conformal Klein-Gordon ... See full document

... dealt with by Azzollini, Pisani, and Pomponio in [3]. Mugnai in [4] studied the existence of radially symmetric solitary waves for a system of a nonlinear Klein–Gordon equation cou- pled with ... See full document

... Schrödinger equation [9,19], KG [10-12,20-22] and Dirac equation [20-22] for the Hulthén ...screening parameter  and the dimensionless parameter  are taken as   ... See full document

... by Equation (10) above was introduced for the first time by Pauli and Weisskopf in 1934 which consists of terms of both ...Dirac equation has explained the fine structure of hydrogen atom along with a host ... See full document

... representing the spin-1 bosons are transferred to the massive spin-0 scalar Λ (by giving it energy and momentum). In field theory, whenever a local symmetry is broken a massive field is generated. This known as Higgs ... See full document

... of solutions to non-homogeneous Schrödinger-Maxwell and Klein-Gordon-Maxwell sys- tems with homogenous boundary conditions in a bounded ball, respectively. Inspired by Candela and Salvatore’s results, in ... See full document

... and Klein-Gordon equations get modified— one way this can be done was worked out by the author ...Dirac equation and the Klein-Gordon equation of Special Relativity and finally ... See full document