Multilevel augmentation methods for solving the sine-Gordon equation

DOI10.1016/j.jmaa.2010.10.009zbMath1213.35035OpenAlexW1976848078MaRDI QIDQ615937

Jian Chen, Zhongying Chen, Sirui Cheng

Publication date: 7 January 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.10.009

zbMATH Keywords

sine-Gordon equationnonlinear operator equationssemi-discrete schememultiscale methodsfully-discrete schememultilevel augmentation methodsoptimal convergence order

Mathematics Subject Classification ID

Wave equation (35L05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Theoretical approximation in context of PDEs (35A35) Second-order semilinear hyperbolic equations (35L71)

Related Items (13)

Multilevel augmentation methods for nonlinear ill-posed problems ⋮ Fast multilevel augmentation method for nonlinear integral equations ⋮ Multilevel augmentation methods for solving the Burgers' equation ⋮ RETRACTED ARTICLE: A cubic B-spline quasi-interpolation method for solving hyperbolic partial differential equations ⋮ Multilevel augmentation method with wavelet bases for singularly perturbed problem ⋮ A multiscale Galerkin method for second-order boundary value problems of Fredholm integro-differential equation ⋮ Multilevel augmentation methods for eigen-problems of compact integral operators ⋮ Analyzing two-dimensional sine-Gordon equation with the mesh-free reproducing kernel particle Ritz method ⋮ Numerical solution of sine-Gordon equation with the local kriging meshless method ⋮ Fast multilevel augmentation methods for nonlinear boundary value problems ⋮ One and two soliton solutions for the sinh-Gordon equation in (1+1), (2+1) and (3+1) dimensions ⋮ \(L1\)-multiscale Galerkin's scheme with multilevel augmentation algorithm for solving time fractional Burgers' equation ⋮ A Dufort-Frankel difference scheme for two-dimensional sine-Gordon equation

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