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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Optimized finite difference iterative scheme based on POD technique for 2D viscoelastic wave equation

Applied Mathematics and Mechanics ◽

10.1007/s10483-017-2288-8 ◽

2017 ◽

Vol 38 (12) ◽

pp. 1721-1732 ◽

Author(s):

Hong Xia ◽

Zhendong Luo

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Iterative Scheme ◽

Viscoelastic Wave Equation ◽

Viscoelastic Wave

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Stability Analysis of Finite-Difference Schemes for the Viscoelastic Wave Equation

10.21236/ada444965 ◽

1994 ◽

Author(s):

Joakim O. Blanch ◽

William W. Symes

Keyword(s):

Wave Equation ◽

Stability Analysis ◽

Finite Difference ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Viscoelastic Wave Equation ◽

Viscoelastic Wave

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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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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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Blow-up of solution for quasilinear viscoelastic wave equation with boundary nonlinear damping and source terms

Boundary Value Problems ◽

10.1186/s13661-019-1180-6 ◽

2019 ◽

Vol 2019 (1) ◽

Author(s):

Mi Jin Lee ◽

Jum-Ran Kang ◽

Sun-Hye Park

Keyword(s):

Wave Equation ◽

Blow Up ◽

Nonlinear Damping ◽

Source Terms ◽

Viscoelastic Wave Equation ◽

Viscoelastic Wave ◽

Damping And Source Terms

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Global Nonexistence for A Viscoelastic Wave Equation with Acoustic Boundary Conditions

Acta Mathematica Scientia ◽

10.1007/s10473-020-0111-2 ◽

2019 ◽

Vol 40 (1) ◽

pp. 155-169 ◽

Author(s):

Jiali Yu ◽

Yadong Shang ◽

Huafei Di

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Acoustic Boundary Conditions ◽

Viscoelastic Wave Equation ◽

Global Nonexistence ◽

Viscoelastic Wave

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