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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Optimal point-wise error estimate of a compact difference scheme for the Klein–Gordon–Schrödinger equation

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2013.10.038 ◽

2014 ◽

Vol 412 (1) ◽

pp. 155-167 ◽

Author(s):

Tingchun Wang

Keyword(s):

Schrödinger Equation ◽

Error Estimate ◽

Difference Scheme ◽

Schrodinger Equation ◽

Compact Difference Scheme ◽

Optimal Point ◽

Compact Difference ◽

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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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Direct calculation of waves in fluid flows using high-order compact difference scheme

AIAA Journal ◽

10.2514/3.12172 ◽

1994 ◽

Vol 32 (9) ◽

pp. 1766-1773 ◽

Author(s):

Sheng-Tao Yu ◽

Lennart S. Hultgren ◽

Nan-Suey Liu

Keyword(s):

Difference Scheme ◽

Fluid Flows ◽

Direct Calculation ◽

Compact Difference Scheme ◽

Compact Difference

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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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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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A Linearized High-Order Combined Compact Difference Scheme for Multi-Dimensional Coupled Burgers’ Equations

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.oa-2017-0090 ◽

2018 ◽

Vol 11 (2) ◽

pp. 299-320 ◽

Author(s):

Buyun Chen

Keyword(s):

Difference Scheme ◽

Compact Difference Scheme ◽

Burgers Equations ◽

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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A new compact difference scheme for second derivative in non-uniform grid expressed in self-adjoint form

Journal of Computational Physics ◽

10.1016/j.jcp.2010.11.035 ◽

2011 ◽

Vol 230 (5) ◽

pp. 1822-1848 ◽

Author(s):

T.K. Sengupta ◽

S. Bhaumik ◽

U. Shameem

Keyword(s):

Difference Scheme ◽

Uniform Grid ◽

Second Derivative ◽

Compact Difference Scheme ◽

Compact Difference

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Compact difference scheme for parabolic and Schrödinger-type equations with variable coefficients

Journal of Computational Physics ◽

10.1016/j.jcp.2018.06.079 ◽

2018 ◽

Vol 375 ◽

pp. 1451-1468 ◽

Author(s):

Vladimir A. Gordin ◽

Evgenii A. Tsymbalov

Keyword(s):

Difference Scheme ◽

Variable Coefficients ◽

Compact Difference Scheme ◽

Compact Difference

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