A collocation method for generalized nonlinear Klein-Gordon equation

DOI10.1007/s10444-013-9312-5zbMath1300.65072OpenAlexW2065447290MaRDI QIDQ457689

Ben-yu Guo, Zhong-qing Wang

Publication date: 29 September 2014

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-013-9312-5

zbMATH Keywords

algorithmstabilityinitial boundary value problemnumerical resultgeneralized nonlinear Klein-Gordon equationspace-time collocation method

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) PDEs in connection with quantum mechanics (35Q40) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

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Cites Work

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• Collocation and finite difference-collocation methods for the solution of nonlinear Klein-Gordon equation
• Jacobi approximations in non-uniformly Jacobi-weighted Sobolev spaces
• Generalized Jacobi rational spectral method and its applications
• A spectral element solution of the Klein-Gordon equation with high-order treatment of time and non-reflecting boundary
• Analysis and comparison of numerical methods for the Klein-Gordon equation in the nonrelativistic limit regime
• Run time estimation of the spectral radius of Jacobians
• Legendre-Gauss collocation methods for ordinary differential equations
• Numerical solution of a nonlinear Klein-Gordon equation
• Fourier collocation method for solving nonlinear Klein-Gordon equation
• A Legendre spectral method for solving the nonlinear Klein-Gordon equation
• Optimal spectral-Galerkin methods using generalized Jacobi polynomials
• Spectral Methods
• Finite difference solution of a nonlinear Klein-Gordon equation with an external source
• Spectral Methods and Their Applications
• Jacobi and Laguerre quasi-orthogonal approximations and related interpolations
• Spectral Methods
• Some relationships between implicit Runge-Kutta, collocation and Lanczosτ methods, and their stability properties

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