Klein-Gordon nonlinear equation
Approximate symmetry and exact solutions of the perturbed nonlinear Klein-Gordon equation
... perturbed nonlinear Klein-Gordon equation. The nonlinear Klein-Gordon equation is used to model many nonlinear ...
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Numerical Solution of the Nonlinear Klein Gordon Equation Using Multiquadric Quasi interpolation Scheme
... the nonlinear Klein-Gordon equation such as the fi- nite difference method, the inverse scattering method, the auxiliary equation method, Backlund transformation, the Wa- datitrace ...
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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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Implementation of the Homotopy Perturbation Sumudu Transform Method for Solving Klein Gordon Equation
... w x = h x w x = k x (2) appears in modeling of problems in quantum field theory, relavistic physics, dispersive wave phenomena, plasma physic, nonlinear optics and applied physical sciences. The complexity of the ...
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SOLVING LINEAR AND NONLINEAR KLEIN-GORDON EQUATIONS BY NEW PERTURBATION ITERATION TRANSFORM METHOD
... and Nonlinear Klein- Gordon equation, which is based on the Perturbation Iteration Transform Method ...The Klein-Gordon equation is the name given to the equation ...
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Analytical solutions for the fractional Klein-Gordon equation
... using variational method and finite element approach. Appl. Math. Comput., 162 (2005) 381-401. [12] E. Yusufoglu, Variational iteration method for construction of some compact and noncompact structures of ...
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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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Trigonometric Cubic B-spline Collocation Method for Solitons of the Klein-Gordon Equation
... Classical polynomial cubic B-spline collocation on a uniform mesh distribution was implemented to the some problems derived on the nonlinear Klein-Gordon equa- tion [25]. Zahra et al. [26] derived an ...
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RETRACTED：Implementation of the Homotopy Perturbation Sumudu Transform Method for Solving Klein Gordon Equation
... 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 ...
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Sharp energy criteria of blow up for the energy critical Klein Gordon equation
... the nonlinear waves (see [, , ]). The nonlinear Klein-Gordon equation is lack of scaling ...original nonlinear Klein-Gordon equation but that of a ...
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Research Interests: Numerical Analysis Differential Quadrature Method Haar Wavelets Analysis Finite Element Methods, Numerical Solution of PDEs
... 29. Anjali Verma, Ram Jiwari and Satish Kumar, A numerical scheme based on differential quadrature method for numerical simulation of nonlinear Klein-Gordon equation, International Journal of ...
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Nonexistence and existence of nontrivial solutions for Klein–Gordon–Maxwell systems with competing nonlinearities
... 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 ...
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Solving the fractional nonlinear Klein Gordon equation by means of the homotopy analysis method
... In this study, the homotopy analysis method with new strategies has been employed to obtain an approximate analytical solution of fractional nonlinear Klein-Gordon equations. It is quite important to ...
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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 ...kinetic equation for the particle distri- ...
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Exact solution of nonlinear Klein-Gordon equations with quadratic nonlinearity by modified Adomian decomposition method
... solutions by ADM and Talor Matrix method obtained from the Telegraph equations that de- scribes wave propagation in electric signal in cable transmission and Klein-Gordon equation. [16] applied the ...
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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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A Numerical Method for Computing Radially Symmetric Solutions of a Dissipative Nonlinear Modified Klein-Gordon Equation
... In the last chapter we derive a numerical method to approximate radially symmetric solutions of the modified nonlinear Klein-Gordon equation under study. As we will observe, if no external ...
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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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Green’s function for the boundary value problem of the static Klein-Gordon equation stated on a rectangular region and its convergence analysis
... unknown inclusions was considered. In paper [], the authors obtain essentially best pos- sible stability estimates for a class of inverse problems associated to elliptic boundary value problems. Three examples of ...
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The Higher Dimensional Universe
... 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 ...
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