Klein-Gordon equation
Approximate symmetry and exact solutions of the perturbed nonlinear Klein-Gordon equation
... Abstract In this paper, the Lie approximate symmetry analysis is applied to investigate new exact solutions of the perturbed nonlinear Klein-Gordon equation. The nonlinear Klein-Gordon ...
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Sharp energy criteria of blow up for the energy critical Klein Gordon equation
... It is well known that the scaling invariance brings about a lot of algebraic or geometric structures and simplifications, which are significant to analyze the nonlinear waves (see [, , ]). The nonlinear ...
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Green’s function for the boundary value problem of the static Klein-Gordon equation stated on a rectangular region and its convergence analysis
... static Klein-Gordon equation (SKGE), which is formulated from data ...ler equation is an elliptic PDE, such as a ...Laplace equation involves estimating the boundary function based on ...
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Trigonometric Cubic B-spline Collocation Method for Solitons of the Klein-Gordon Equation
... 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 ...
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Solving the fractional nonlinear Klein Gordon equation by means of the homotopy analysis method
... In this paper, the homotopy analysis method is applied to obtain the solution of nonlinear fractional partial differential equations. The method has been successively provided for finding approximate analytical solutions ...
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Implementation of the Homotopy Perturbation Sumudu Transform Method for Solving Klein Gordon Equation
... Nonlinear phenomena that appear in many areas of scientific fields such as solid state physics, plasma physics, fluid dynamics, mathematical biology and chemical kinetics are modeled in terms of nonlinear partial ...
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RETRACTED：Implementation of the Homotopy Perturbation Sumudu Transform Method for Solving Klein Gordon Equation
... Nonlinear phenomena that appear in many areas of scientific fields such as solid state physics, plasma physics, fluid dynamics, mathematical biology and chemical kinetics are modeled in terms of nonlinear partial ...
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Numerical Solution of Nonlinear Klein Gordon Equation Using Lattice Boltzmann Method
... In this paper, 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 ...
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Traveling Wave Solutions of Nonlinear Klein-Gordon Equation by Extended (G/G')-expansion Method
... linear Klein-Gordon equation by using G / ′ G − expansion method with help of Auxiliary equation G ′′ + λ G ′ + µ G = 0 ...generalized Klein-Gordon equation by using ...
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A Numerical Method for Computing Radially Symmetric Solutions of a Dissipative Nonlinear Modified Klein-Gordon Equation
... As we observed before, the graphs of solutions corresponding to nonzero values of β tend to increase near the origin for large values of t. To examine this more accurately, we have obtained the values of solutions of the ...
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Numerical Solution of the Nonlinear Klein Gordon Equation Using Multiquadric Quasi interpolation Scheme
... nonlinear Klein-Gordon equation by applying the multiquadric quasi-interpolation scheme and the integrated radial basis function network ...nonlinear Klein-Gordon equation ...
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Analytical solutions for the fractional Klein-Gordon equation
... 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 ...
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The General Analytical and Numerical Solution for the Nonlinear Klein-Gordon Equation
... the Klein-Gordon equation is of high impor- tance for mixed scalar and vector ...the Klein-Gordon for a num- ber of special potential has been of great interests in the recent ...The ...
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Numerical analysis for the Klein Gordon equation with mass parameter
... differential equation describing the relativistic wave is presented in this ...the Klein-Gordon equation with mass parameter to the concept of fractional ...
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First Integral Method: A General Formula for Nonlinear Fractional Klein Gordon Equation Using Advanced Computing Language
... 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 ...
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The Finite Difference Methods for –Nonlinear Klein Gordon Equation
... Abstract:- Klein Gordon equation has been solved numerically by using fully implicit finite difference method (FIFDM) and exponential finite difference method (ExpFDM) and we found that both methods ...
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Numerical solution of fractional diffusion wave equation and fractional Klein–Gordon equation via two dimensional Genocchi polynomials with a Ritz–Galerkin method
... Wave Equation (FDWE) and the Fractional Klein–Gordon Equation ...considered equation with the help of two-dimensional Genocchi polynomials along with the Ritz–Galerkin ...
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Numerical solution of Klein-Gordon equation by using the Adomian's decomposition and variational iterative methods
... gral dierential equations using the modied Adomian deomposition method, Com-. put[r] ...
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Nonexistence and existence of nontrivial solutions for Klein–Gordon–Maxwell systems with competing nonlinearities
... nonhomogeneous Klein–Gordon– Maxwell system were got by Chen and ...of Klein–Gordon–Maxwell system with a very general nonlinear ...term. Klein–Gordon–Maxwell system with a ...
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Analyses of π± 12C Elastic Scattering and Reaction Cross Section Data Below, Atop and Above the Δ Resonance
... The pion-nucleus elastic scattering and reaction cross-section data at incident energies below, atop and above the Δ-resonance are analyzed using the full Klein-Gordon equation using an optical ...
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