Finite difference solution of a nonlinear Klein-Gordon equation with an external source

DOI10.1090/S0025-5718-2010-02416-0zbMath1215.65138OpenAlexW2030803305MaRDI QIDQ3168725

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Publication date: 19 April 2011

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-2010-02416-0

zbMATH Keywords

convergencenumerical experimentsfinite difference schemeDarboux problemnonlinear Klein-Gordon equationexternal sourceone-dimensional Klein-Gordon equation

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) PDEs in connection with quantum mechanics (35Q40)

Related Items (8)

FD-method for solving the nonlinear Klein-Gordon equation ⋮ The second Darboux problem for the wave equation with integral nonlinearity ⋮ On the solution behavior of a nonlinear time-fractional Klein-Gordon equation: theoretical study and numerical validation ⋮ The Cauchy-Darboux problem for the one-dimensional wave equation with power nonlinearity ⋮ Unnamed Item ⋮ A collocation method for generalized nonlinear Klein-Gordon equation ⋮ On the \(L^{\infty}\)-convergence of two conservative finite difference schemes for fourth-order nonlinear strain wave equations ⋮ Second Darboux problem for the wave equation with a power-law nonlinearity

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