One approach to constructing a conservative difference scheme for the two-phase filtration problem

Keldysh Institute Preprints ◽

10.20948/prepr-2017-69 ◽

2017 ◽

pp. 1-12

Author(s):

Igor Viktorovich Popov ◽

Yuri Andreevich Poveschenko ◽

Sergey Vladimirovich Polyakov ◽

Parvin Ilgar kizi Rahimli

Keyword(s):

Difference Scheme ◽

Two Phase ◽

Filtration Problem ◽

Conservative Difference Scheme ◽

Conservative Difference

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Conservative Difference Scheme of Solitary Wave Solutions of the Generalized Regularized Long-Wave Equation

Indian Journal of Pure and Applied Mathematics ◽

10.1007/s13226-020-0468-7 ◽

2020 ◽

Vol 51 (4) ◽

pp. 1317-1342

Author(s):

Asma Rouatbi ◽

Manel Labidi ◽

Khaled Omrani

Keyword(s):

Wave Equation ◽

Solitary Wave ◽

Difference Scheme ◽

Solitary Wave Solutions ◽

Conservative Difference Scheme ◽

Wave Solutions ◽

Long Wave ◽

Regularized Long Wave Equation ◽

Conservative Difference

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Towards the ultimate conservative difference scheme. II. Monotonicity and conservation combined in a second-order scheme

Journal of Computational Physics ◽

10.1016/0021-9991(74)90019-9 ◽

1974 ◽

Vol 14 (4) ◽

pp. 361-370 ◽

Cited By ~ 1224

Author(s):

Bram van Leer

Keyword(s):

Difference Scheme ◽

Second Order ◽

Conservative Difference Scheme ◽

Order Scheme ◽

Conservative Difference

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Study on the dynamics of a nonlinear dispersion model in both 1D and 2D based on the fourth-order compact conservative difference scheme

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2020.11.012 ◽

2021 ◽

Vol 182 ◽

pp. 661-689

Author(s):

Yu.I. Dimitrienko ◽

Shuguang Li ◽

Yi Niu

Keyword(s):

Difference Scheme ◽

Fourth Order ◽

Dispersion Model ◽

Nonlinear Dispersion ◽

Conservative Difference Scheme ◽

Conservative Difference

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Conservative Difference Scheme for Maxwell Equations Describing a Nonstationary Nonlinear Response of Matter in a Semi-Classical Approximation

Computational Mathematics and Modeling ◽

10.1007/s10598-017-9355-4 ◽

2017 ◽

Vol 28 (2) ◽

pp. 164-184

Author(s):

D. Yu. Zagurskii ◽

I. G. Zakharova ◽

V. A. Trofimov

Keyword(s):

Difference Scheme ◽

Maxwell Equations ◽

Nonlinear Response ◽

Conservative Difference Scheme ◽

Classical Approximation ◽

Conservative Difference

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Convergence of a conservative difference scheme for a class of Klein–Gordon–Schrödinger equations in one space dimension

Applied Mathematics and Computation ◽

10.1016/j.amc.2004.02.010 ◽

2005 ◽

Vol 163 (1) ◽

pp. 343-355 ◽

Cited By ~ 39

Author(s):

Luming Zhang

Keyword(s):

Difference Scheme ◽

Space Dimension ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Conservative Difference Scheme ◽

Klein Gordon ◽

Conservative Difference ◽

One Space Dimension

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A conservative difference scheme for conservative differential equation with periodic boundary

Applied Mathematics and Mechanics ◽

10.1007/bf02436457 ◽

2001 ◽

Vol 22 (10) ◽

pp. 1210-1215 ◽

Cited By ~ 3

Author(s):

Cai Xin

Keyword(s):

Differential Equation ◽

Difference Scheme ◽

Periodic Boundary ◽

Conservative Difference Scheme ◽

Conservative Difference

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A decoupled and conservative difference scheme with fourth-order accuracy for the Symmetric Regularized Long Wave equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2013.03.076 ◽

2013 ◽

Vol 219 (17) ◽

pp. 9461-9468 ◽

Cited By ~ 1

Author(s):

Tao Nie

Keyword(s):

Difference Scheme ◽

Fourth Order ◽

Wave Equations ◽

Order Accuracy ◽

Conservative Difference Scheme ◽

Long Wave ◽

Conservative Difference

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Towards the ultimate conservative difference scheme. IV. A new approach to numerical convection

Journal of Computational Physics ◽

10.1016/0021-9991(77)90095-x ◽

1977 ◽

Vol 23 (3) ◽

pp. 276-299 ◽

Cited By ~ 1577

Author(s):

Bram Van Leer

Keyword(s):

Difference Scheme ◽

New Approach ◽

Conservative Difference Scheme ◽

Conservative Difference

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A Conservative Difference Scheme for the Zakharov Equations

Journal of Computational Physics ◽

10.1006/jcph.1994.1138 ◽

1994 ◽

Vol 113 (2) ◽

pp. 309-319 ◽

Cited By ~ 45

Author(s):

Qianshun Chang ◽

Hong Jiang

Keyword(s):

Difference Scheme ◽

Conservative Difference Scheme ◽

Conservative Difference

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An energy conservative difference scheme for the nonlinear fractional Schrödinger equations

Journal of Computational Physics ◽

10.1016/j.jcp.2014.03.037 ◽

2015 ◽

Vol 293 ◽

pp. 238-251 ◽

Cited By ~ 112

Author(s):

Pengde Wang ◽

Chengming Huang

Keyword(s):

Difference Scheme ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Conservative Difference Scheme ◽

Fractional Schrödinger Equations ◽

Nonlinear Fractional Schrödinger Equations ◽

Conservative Difference

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