Coupled and decoupled high‐order accurate dissipative finite difference schemes for the dissipative generalized symmetric regularized long wave equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22836 ◽

2021 ◽

Author(s):

Yuyu He ◽

Xiaofeng Wang ◽

Weizhong Dai

Keyword(s):

Finite Difference ◽

Wave Equations ◽

Difference Schemes ◽

Finite Difference Schemes ◽

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The Conservative Time High-Order AVF Compact Finite Difference Schemes for Two-Dimensional Variable Coefficient Acoustic Wave Equations

Journal of Scientific Computing ◽

10.1007/s10915-019-00983-6 ◽

2019 ◽

Vol 80 (2) ◽

pp. 1279-1309 ◽

Author(s):

Baohui Hou ◽

Dong Liang ◽

Hongmei Zhu

Keyword(s):

Finite Difference ◽

Acoustic Wave ◽

Variable Coefficient ◽

Wave Equations ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Two Dimensional ◽

Compact Finite Difference ◽

Dimensional Variable

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Energy-preserving time high-order AVF compact finite difference schemes for nonlinear wave equations with variable coefficients

Journal of Computational Physics ◽

10.1016/j.jcp.2020.109738 ◽

2020 ◽

Vol 421 ◽

pp. 109738

Author(s):

Baohui Hou ◽

Dong Liang

Keyword(s):

Finite Difference ◽

Nonlinear Wave ◽

Wave Equations ◽

Variable Coefficients ◽

Difference Schemes ◽

Nonlinear Wave Equations ◽

Finite Difference Schemes ◽

Compact Finite Difference ◽

Compact Finite Difference Schemes

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High-order accurate entropy stable finite difference schemes for the shallow water magnetohydrodynamics

Journal of Computational Physics ◽

10.1016/j.jcp.2021.110136 ◽

2021 ◽

Vol 431 ◽

pp. 110136

Author(s):

Junming Duan ◽

Huazhong Tang

Keyword(s):

Finite Difference ◽

Shallow Water ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Entropy Stable ◽

Shallow Water Magnetohydrodynamics

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High Order Compact Block-Centered Finite Difference Schemes for Elliptic and Parabolic Problems

Journal of Scientific Computing ◽

10.1007/s10915-021-01507-x ◽

2021 ◽

Vol 87 (3) ◽

Author(s):

Yilei Shi ◽

Shusen Xie ◽

Dong Liang ◽

Kai Fu

Keyword(s):

Finite Difference ◽

Difference Schemes ◽

Parabolic Problems ◽

Finite Difference Schemes

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High order accurate in time, fourth order finite difference schemes for the harmonic mapping flow

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113766 ◽

2021 ◽

pp. 113766

Author(s):

Zeyu Xia ◽

Cheng Wang ◽

Liwei Xu ◽

Zhengru Zhang

Keyword(s):

Finite Difference ◽

Fourth Order ◽

Harmonic Mapping ◽

Difference Schemes ◽

Finite Difference Schemes

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High-order implicit finite difference schemes for the two-dimensional Poisson equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2017.04.006 ◽

2017 ◽

Vol 309 ◽

pp. 222-244

Author(s):

Miguel Uh Zapata ◽

Reymundo Itzá Balam

Keyword(s):

Finite Difference ◽

Poisson Equation ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Two Dimensional ◽

Implicit Finite Difference

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High order accurate finite difference schemes based on symmetry preservation

Journal of Computational Physics ◽

10.1016/j.jcp.2017.08.023 ◽

2017 ◽

Vol 349 ◽

pp. 376-398 ◽

Author(s):

Ersin Ozbenli ◽

Prakash Vedula

Keyword(s):

Finite Difference ◽

Difference Schemes ◽

Finite Difference Schemes

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The Stability of Numerical Boundary Treatments for Compact High-Order Finite-Difference Schemes

Journal of Computational Physics ◽

10.1006/jcph.1993.1182 ◽

1993 ◽

Vol 108 (2) ◽

pp. 272-295 ◽

Author(s):

Mark H. Carpenter ◽

David Gottlieb ◽

Saul Abarbanel

Keyword(s):

Finite Difference ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Boundary Treatments ◽

The Stability ◽

High Order Finite Difference

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High-Order Finite-Difference Schemes

Effective Computational Methods for Wave Propagation - Numerical Insights ◽

10.1201/9781420010879.ch17 ◽

2008 ◽

pp. 491-519

Author(s):

J Ekaterinaris

Keyword(s):

Finite Difference ◽

Difference Schemes ◽

Finite Difference Schemes ◽

High Order Finite Difference

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Two finite-difference schemes that preserve the dissipation of energy in a system of modified wave equations

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2009.04.017 ◽

2010 ◽

Vol 15 (3) ◽

pp. 552-563 ◽

Author(s):

J.E. Macías-Díaz ◽

S. Jerez-Galiano

Keyword(s):

Finite Difference ◽

Wave Equations ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Dissipation Of Energy

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