The sensitivity and accuracy of fourth order finite-difference schemes on nonuniform grids in one dimension

Computers & Mathematics with Applications ◽

10.1016/0898-1221(95)00136-m ◽

1995 ◽

Vol 30 (8) ◽

pp. 41-55 ◽

Author(s):

J.E. Castillo ◽

J.M. Hyman ◽

M.J. Shashkov ◽

S. Steinberg

Keyword(s):

Finite Difference ◽

Fourth Order ◽

Difference Schemes ◽

One Dimension ◽

Finite Difference Schemes ◽

Nonuniform Grids

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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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Chapter 20: Finite difference schemes for the heat equation in one dimension

Programming Projects in C for Students of Engineering, Science, and Mathematics ◽

10.1137/1.9781611973501.ch20 ◽

2014 ◽

pp. 251-281

Keyword(s):

Finite Difference ◽

Heat Equation ◽

Difference Schemes ◽

One Dimension ◽

Finite Difference Schemes

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Optimal point-wise error estimate of two conservative fourth-order compact finite difference schemes for the nonlinear Dirac equation

Applied Numerical Mathematics ◽

10.1016/j.apnum.2020.12.010 ◽

2021 ◽

Vol 162 ◽

pp. 150-170

Author(s):

Jiyong Li ◽

Tingchun Wang

Keyword(s):

Dirac Equation ◽

Finite Difference ◽

Error Estimate ◽

Fourth Order ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Optimal Point ◽

Compact Finite Difference ◽

Nonlinear Dirac Equation ◽

Compact Finite Difference Schemes

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Analysis of finite difference schemes for a fourth-order strongly damped nonlinear wave equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2020.11.012 ◽

2021 ◽

Vol 82 ◽

pp. 74-96

Author(s):

Talha Achouri ◽

Tlili Kadri ◽

Khaled Omrani

Keyword(s):

Finite Difference ◽

Nonlinear Wave ◽

Fourth Order ◽

Wave Equations ◽

Difference Schemes ◽

Nonlinear Wave Equations ◽

Finite Difference Schemes ◽

Strongly Damped

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The conservative and fourth-order compact finite difference schemes for regularized long wave equation

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.01.036 ◽

2019 ◽

Vol 356 ◽

pp. 98-117 ◽

Author(s):

Bo Wang ◽

Tongjun Sun ◽

Dong Liang

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Fourth Order ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Compact Finite Difference ◽

Long Wave ◽

Regularized Long Wave Equation ◽

Compact Finite Difference Schemes

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High order compact finite difference schemes on nonuniform grids

Applied Numerical Mathematics ◽

10.1016/j.apnum.2018.06.003 ◽

2018 ◽

Vol 132 ◽

pp. 205-218 ◽

Author(s):

R. Čiegis ◽

O. Suboč

Keyword(s):

Finite Difference ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Nonuniform Grids ◽

Compact Finite Difference ◽

Compact Finite Difference Schemes

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Construction Analysis of Fourth-Order Finite Difference Schemes for the Acoustic Wave Equation in Nonhomogeneous Media

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142993246445 ◽

1996 ◽

Vol 33 (4) ◽

pp. 1266-1302 ◽

Author(s):

Gary Cohen ◽

Patrick Joly

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Acoustic Wave ◽

Fourth Order ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Acoustic Wave Equation ◽

Nonhomogeneous Media

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Two linearized finite difference schemes for time fractional nonlinear diffusion-wave equations with fourth order derivative

AIMS Mathematics ◽

10.3934/math.2021373 ◽

2021 ◽

Vol 6 (6) ◽

pp. 6356-6376

Author(s):

Emadidin Gahalla Mohmed Elmahdi ◽

◽

Jianfei Huang ◽

Keyword(s):

Finite Difference ◽

Fourth Order ◽

Nonlinear Diffusion ◽

Wave Equations ◽

Difference Schemes ◽

Order Derivative ◽

Finite Difference Schemes ◽

Diffusion Wave ◽

Nonlinear Diffusion Wave

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On the $$L^{\infty }$$-convergence of two conservative finite difference schemes for fourth-order nonlinear strain wave equations

Computational and Applied Mathematics ◽

10.1007/s40314-021-01597-1 ◽

2021 ◽

Vol 40 (6) ◽

Author(s):

Tlili Kadri

Keyword(s):

Finite Difference ◽

Fourth Order ◽

Wave Equations ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Strain Wave ◽

Nonlinear Strain

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Fourth order finite difference schemes for time–space fractional sub-diffusion equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2016.02.011 ◽

2016 ◽

Vol 71 (6) ◽

pp. 1287-1302 ◽

Author(s):

Hong-Kui Pang ◽

Hai-Wei Sun

Keyword(s):

Finite Difference ◽

Fourth Order ◽

Difference Schemes ◽

Diffusion Equations ◽

Finite Difference Schemes ◽

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