Pointwise error estimate and stability analysis of fourth-order compact difference scheme for time-fractional Burgers’ equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2021.126824 ◽

2022 ◽

Vol 418 ◽

pp. 126824

Author(s):

Qifeng Zhang ◽

Cuicui Sun ◽

Zhi-Wei Fang ◽

Hai-Wei Sun

Keyword(s):

Stability Analysis ◽

Error Estimate ◽

Difference Scheme ◽

Fourth Order ◽

Burgers Equation ◽

Compact Difference Scheme ◽

Compact Difference ◽

Pointwise Error

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An explicit fourth-order compact difference scheme for solving the 2D wave equation

Advances in Difference Equations ◽

10.1186/s13662-020-02870-z ◽

2020 ◽

Vol 2020 (1) ◽

Author(s):

Yunzhi Jiang ◽

Yongbin Ge

Keyword(s):

Wave Equation ◽

Difference Scheme ◽

Fourth Order ◽

Compact Difference Scheme ◽

Compact Difference

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Optimal Point-Wise Error Estimate of a Compact Difference Scheme for the Coupled Gross–Pitaevskii Equations in One Dimension

Journal of Scientific Computing ◽

10.1007/s10915-013-9757-1 ◽

2013 ◽

Vol 59 (1) ◽

pp. 158-186 ◽

Author(s):

Tingchun Wang

Keyword(s):

Error Estimate ◽

Difference Scheme ◽

One Dimension ◽

Compact Difference Scheme ◽

Optimal Point ◽

Compact Difference

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Compact difference scheme for two‐dimensional fourth‐order nonlinear hyperbolic equation

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22511 ◽

2020 ◽

Vol 36 (6) ◽

pp. 1938-1961

Author(s):

Qing Li ◽

Qing Yang ◽

Huanzhen Chen

Keyword(s):

Difference Scheme ◽

Hyperbolic Equation ◽

Fourth Order ◽

Nonlinear Hyperbolic Equation ◽

Two Dimensional ◽

Compact Difference Scheme ◽

Compact Difference

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A Fourth-Order Accurate Compact Difference Scheme for Solving the Three-Dimensional Poisson Equation With Arbitrary Boundaries

AIAA Scitech 2020 Forum ◽

10.2514/6.2020-0805 ◽

2020 ◽

Author(s):

Shirzad Hosseinverdi ◽

Hermann F. Fasel

Keyword(s):

Difference Scheme ◽

Poisson Equation ◽

Fourth Order ◽

Three Dimensional ◽

Compact Difference Scheme ◽

Compact Difference

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Compact difference scheme for two-dimensional fourth-order hyperbolic equation

Advances in Difference Equations ◽

10.1186/s13662-019-2094-4 ◽

2019 ◽

Vol 2019 (1) ◽

Author(s):

Qing Li ◽

Qing Yang

Keyword(s):

Difference Scheme ◽

Hyperbolic Equation ◽

Fourth Order ◽

Two Dimensional ◽

Compact Difference Scheme ◽

Compact Difference ◽

Order Hyperbolic Equation

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Maximum norm error estimates of fourth-order compact difference scheme for the nonlinear Schrödinger equation involving a quintic term

Journal of Inequalities and Applications ◽

10.1186/s13660-018-1775-y ◽

2018 ◽

Vol 2018 (1) ◽

Author(s):

Hanqing Hu ◽

Hanzhang Hu

Keyword(s):

Schrödinger Equation ◽

Difference Scheme ◽

Error Estimates ◽

Fourth Order ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Maximum Norm ◽

Compact Difference Scheme ◽

Compact Difference ◽

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A new implicit compact difference scheme for the fourth-order fractional diffusion-wave system

International Journal of Computer Mathematics ◽

10.1080/00207160.2013.871000 ◽

2014 ◽

Vol 91 (10) ◽

pp. 2215-2231 ◽

Author(s):

Xiuling Hu ◽

Luming Zhang

Keyword(s):

Difference Scheme ◽

Fourth Order ◽

Fractional Diffusion ◽

Wave System ◽

Compact Difference Scheme ◽

Diffusion Wave ◽

Compact Difference

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A Compact Difference Scheme for Fourth-Order Temporal Multi-Term Fractional Wave Equations and Maximum Error Estimates

East Asian Journal on Applied Mathematics ◽

10.4208/eajam.171118.060119 ◽

2019 ◽

Vol 9 (4) ◽

Author(s):

Guang-Hua Gao ◽

Rui Liu

Keyword(s):

Difference Scheme ◽

Error Estimates ◽

Fourth Order ◽

Wave Equations ◽

Maximum Error ◽

Compact Difference Scheme ◽

Compact Difference ◽

Fractional Wave Equations

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A COMPACT DIFFERENCE SCHEME FOR FOURTH-ORDER FRACTIONAL SUB-DIFFUSION EQUATIONS WITH NEUMANN BOUNDARY CONDITIONS

Journal of Applied Analysis & Computation ◽

10.11948/2018.1159 ◽

2018 ◽

Vol 8 (4) ◽

pp. 1159-1169

Author(s):

Zhongsheng Yao ◽

◽

Zhibo Wang

Keyword(s):

Boundary Conditions ◽

Difference Scheme ◽

Fourth Order ◽

Neumann Boundary ◽

Neumann Boundary Conditions ◽

Diffusion Equations ◽

Compact Difference Scheme ◽

Compact Difference

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FAST COMPACT DIFFERENCE SCHEME FOR THE FOURTH-ORDER TIME MULTI-TERM FRACTIONAL SUB-DIFFUSION EQUATIONS WITH THE FIRST DIRICHLET BOUNDARY

Journal of Applied Analysis & Computation ◽

10.11948/20200405 ◽

2020 ◽

Vol 0 (0) ◽

pp. 0-0

Author(s):

Guang-hua Gao ◽

◽

Peng Xu ◽

Rui Tang

Keyword(s):

Difference Scheme ◽

Fourth Order ◽

Dirichlet Boundary ◽

Diffusion Equations ◽

Compact Difference Scheme ◽

Compact Difference

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