A Crank–Nicolson collocation spectral method for the two‐dimensional viscoelastic wave equation

DOI10.1002/NUM.22339zbMath1418.76037OpenAlexW2904353746WikidataQ115397904 ScholiaQ115397904MaRDI QIDQ5227298

Shiju Jin, Zhen-Dong Luo

Publication date: 25 July 2019

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

Full work available at URL: https://doi.org/10.1002/num.22339

zbMATH Keywords

numerical simulationviscoelastic wave equationexistence and stability as well as convergenceCrank-Nicolson collocation spectral method

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Finite difference methods applied to problems in fluid mechanics (76M20) Viscoelastic fluids (76A10) Spectral methods applied to problems in fluid mechanics (76M22) Best approximation, Chebyshev systems (41A50) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Nonlinear constitutive equations for materials with memory (74D10) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (5)

A reduced order extrapolating technique of solution coefficient vectors to collocation spectral method for telegraph equation ⋮ Two meshless methods based on local radial basis function and barycentric rational interpolation for solving 2D viscoelastic wave equation ⋮ A Highly Efficient Reduced-Order Extrapolating Model for the 2D Viscoelastic Wave Equation ⋮ Coupling of the Crank-Nicolson scheme and localized meshless technique for viscoelastic wave model in fluid flow ⋮ A spectral element Crank-Nicolson model to the 2D unsteady conduction-convection problems about vorticity and stream functions

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