A numerical scheme based on differential quadrature method for numerical simulation of nonlinear Klein-Gordon equation

DOI10.1108/HFF-01-2013-0014zbMath1360.65255OpenAlexW2059583986WikidataQ115268397 ScholiaQ115268397MaRDI QIDQ2967200

Satish Kumar, Anjali Verma, Ram Jiwari

Publication date: 28 February 2017

Published in: International Journal of Numerical Methods for Heat & Fluid Flow (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/hff-01-2013-0014

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

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Cites Work

• Unnamed Item
• Unnamed Item
• The solitary wave solution of coupled Klein-Gordon-Zakharov equations via two different numerical methods
• The use of a Legendre pseudospectral viscosity technique to solve a class of nonlinear dynamic Hamilton-Jacobi equations
• A differential quadrature algorithm to solve the two dimensional linear hyperbolic telegraph equation with Dirichlet and Neumann boundary conditions
• Numerical solution of the Yukawa-coupled Klein-Gordon-Schrödinger equations via a Chebyshev pseudospectral multidomain method
• Differential quadrature solution of nonlinear Klein-Gordon and sine-Gordon equations
• Collocation and finite difference-collocation methods for the solution of nonlinear Klein-Gordon equation
• Application of the dual reciprocity boundary integral equation technique to solve the nonlinear Klein-Gordon equation
• Tension spline approach for the numerical solution of nonlinear Klein-Gordon equation
• Numerical solution of two-dimensional reaction-diffusion Brusselator system
• A numerical solution to Klein-Gordon equation with Dirichlet boundary condition
• New travelling wave solutions to the Boussinesq and the Klein-Gordon equations
• Numerical solution of the Klein-Gordon equation via He's variational iteration method
• A differential quadrature algorithm for nonlinear Schrödinger equation
• Analysis of four numerical schemes for a nonlinear Klein-Gordon equation
• Exact solutions for the generalized Klein-Gordon equation via a transformation and exp-function method and comparison with Adomian's method
• Fourth-order compact solution of the nonlinear Klein-Gordon equation
• Differential quadrature and splines
• An initial-boundary value problem of a nonlinear Klein-Gordon equation
• The decomposition method for studying the Klein-Gordon equation
• Numerical solution of damped nonlinear Klein--Gordon equations using variational method and finite element approach
• Numerical solution of the system of second-order boundary value problems using the local radial basis functions based differential quadrature collocation method
• Large amplitude instability in finite difference approximations to the Klein-Gordon equation
• A Legendre spectral method for solving the nonlinear Klein-Gordon equation
• Numerical simulation of two-dimensional sine-Gordon solitons by differential quadrature method
• Numerical solution of the nonlinear Klein-Gordon equation using radial basis functions
• Auxiliary equation method and new solutions of Klein-Gordon equations
• Compactons, solitons and periodic solutions for some forms of nonlinear Klein--Gordon equations
• Differential quadrature: A technique for the rapid solution of nonlinear partial differential equations
• The tanh and the sine-cosine methods for compact and noncompact solutions of the nonlinear Klein-Gordon equation
• Solving the Klein-Gordon equation by means of the homotopy analysis method
• Numerical solution of the nonlinear Klein-Gordon equation
• A differential quadrature method for numerical solutions of Burgers'‐type equations
• Differential Quadrature Method for Two-Dimensional Burgers' Equations
• Application of generalized differential quadrature to solve two-dimensional incompressible Navier-Stokes equations
• On the numerical solution of the Klein‐Gordon equation
• Shock wave simulations using Sinc Differential Quadrature Method
• New Jacobi elliptic function expansion and new periodic solutions of nonlinear wave equations
• The Jacobi elliptic-function method for finding periodic-wave solutions to nonlinear evolution equations