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

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22339 ◽

2018 ◽

Vol 35 (3) ◽

pp. 1080-1092 ◽

Author(s):

Shiju Jin ◽

Zhendong Luo

Keyword(s):

Wave Equation ◽

Spectral Method ◽

Two Dimensional ◽

Viscoelastic Wave Equation ◽

Viscoelastic Wave ◽

Collocation Spectral Method ◽

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A reduced‐order extrapolated Crank–Nicolson collocation spectral method based on proper orthogonal decomposition for the two‐dimensional viscoelastic wave equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22397 ◽

2019 ◽

Vol 36 (1) ◽

pp. 49-65 ◽

Author(s):

Zhendong Luo ◽

Shiju Jin

Keyword(s):

Proper Orthogonal Decomposition ◽

Spectral Method ◽

Wave Equations ◽

Orthogonal Decomposition ◽

Two Dimensional ◽

Reduced Order ◽

Viscoelastic Wave ◽

Collocation Spectral Method ◽

Proper Orthogonal ◽

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A Crank–Nicolson collocation spectral method for the two-dimensional telegraph equations

Journal of Inequalities and Applications ◽

10.1186/s13660-018-1728-5 ◽

2018 ◽

Vol 2018 (1) ◽

Author(s):

Yanjie Zhou ◽

Zhendong Luo

Keyword(s):

Spectral Method ◽

Two Dimensional ◽

Telegraph Equations ◽

Collocation Spectral Method ◽

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Blow-up phenomena for a viscoelastic wave equation with strong damping and logarithmic nonlinearity

Advances in Difference Equations ◽

10.1186/s13662-020-02694-x ◽

2020 ◽

Vol 2020 (1) ◽

Author(s):

Tae Gab Ha ◽

Sun-Hye Park

Keyword(s):

Wave Equation ◽

Blow Up ◽

Strong Damping ◽

Viscoelastic Wave Equation ◽

Viscoelastic Wave

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Blow-Up of Solution for A Viscoelastic Wave Equation with Delay

Acta Mathematica Scientia ◽

10.1007/s10473-019-0124-7 ◽

2019 ◽

Vol 39 (1) ◽

pp. 329-338 ◽

Author(s):

Shun-Tang Wu

Keyword(s):

Wave Equation ◽

Blow Up ◽

Viscoelastic Wave Equation ◽

Viscoelastic Wave ◽

Equation With Delay

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Singular Value Decomposition–Based Collocation Spectral Method for Quasi-Two-Dimensional Laminar Water Hammer Problems

Journal of Hydraulic Engineering ◽

10.1061/(asce)hy.1943-7900.0001298 ◽

2017 ◽

Vol 143 (7) ◽

pp. 04017014 ◽

Author(s):

Ming Zhao ◽

Xiu-Zhen Sun

Keyword(s):

Singular Value Decomposition ◽

Spectral Method ◽

Water Hammer ◽

Singular Value ◽

Two Dimensional ◽

Collocation Spectral Method ◽

Value Decomposition

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A POD-based-optimized finite difference CN-extrapolated implicit scheme for the 2D viscoelastic wave equation †

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.4499 ◽

2017 ◽

Vol 40 (18) ◽

pp. 6880-6890 ◽

Author(s):

Hong Xia ◽

Zhengdong Luo

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Implicit Scheme ◽

Viscoelastic Wave Equation ◽

Viscoelastic Wave

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General decay of the solution for a viscoelastic wave equation with a time-varying delay term in the internal feedback

Journal of Mathematical Physics ◽

10.1063/1.4799929 ◽

2013 ◽

Vol 54 (4) ◽

pp. 043504 ◽

Author(s):

Wenjun Liu

Keyword(s):

Wave Equation ◽

General Decay ◽

Time Varying ◽

Internal Feedback ◽

Time Varying Delay ◽

Viscoelastic Wave Equation ◽

Viscoelastic Wave ◽

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Viscoelastic Wave Equation with Logarithmic Nonlinearities in ℝn

Journal of Partial Differential Equations ◽

10.4208/jpde.v30.n1.4 ◽

2017 ◽

Vol 30 (1) ◽

pp. 47-63 ◽

Author(s):

Bouhali Keltoum

Keyword(s):

Wave Equation ◽

Viscoelastic Wave Equation ◽

Viscoelastic Wave

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On the existence and decay of solution for viscoelastic wave equation with nonlinear source in weighted spaces

Rendiconti del Circolo Matematico di Palermo (1952 -) ◽

10.1007/s12215-016-0257-7 ◽

2016 ◽

Author(s):

Salah Zitouni ◽

Khaled Zennir

Keyword(s):

Wave Equation ◽

Weighted Spaces ◽

Nonlinear Source ◽

Viscoelastic Wave Equation ◽

Viscoelastic Wave

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General Decay for a Coupled System of Viscoelastic Wave Equation of Infinite Memory with Acoustic Boundary Conditions

10.1109/icrami52622.2021.9585955 ◽

2021 ◽

Author(s):

Abdelaziz Limam ◽

Benyattou Benabderrahmane ◽

Yamna Boukhatem

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Coupled System ◽

General Decay ◽

Acoustic Boundary Conditions ◽

Infinite Memory ◽

Viscoelastic Wave Equation ◽

Viscoelastic Wave

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