A three‐level linearized finite difference scheme for the camassa–holm equation

DOI10.1002/num.21819zbMath1290.65071OpenAlexW2168959769WikidataQ115398235 ScholiaQ115398235MaRDI QIDQ5407976

HaiYan Cao, Guang-hua Gao, Zhi-zhong Sun

Publication date: 8 April 2014

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.21819

zbMATH Keywords

finite difference methodnumerical experimentsorder of convergencenonlinear third-order Camassa-Holm equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) 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)

Related Items (7)

Linearly Implicit Invariant-Preserving Decoupled Difference Scheme For The Rotation-Two-Component Camassa--Holm System ⋮ A novel convenient finite difference method for shallow water waves derived by fifth‐order Kortweg and De‐Vries‐type equation ⋮ A fourth-order energy-preserving and symmetric average vector field integrator with low regularity assumption ⋮ An energy-preserving finite difference scheme with fourth-order accuracy for the generalized Camassa-Holm equation ⋮ Numerical solutions to optimal portfolio selection and consumption strategies under stochastic volatility ⋮ On the identification of nonlinear terms in the generalized Camassa-Holm equation involving dual-power law nonlinearities ⋮ Local discontinuous Galerkin methods for the two-dimensional Camassa-Holm equation

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