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International Journal of Computer Mathematics Volume 90, 2013 - Issue 7
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Section B

A two-level compact ADI method for solving second-order wave equations

Hong-Lin Liao Institute of Sciences, PLAUST, Nanjing, 211101, ChinaCorrespondence[email protected]
&
Zhi-Zhong Sun Department of Mathematics, Southeast University, Nanjing, 210096, China
Pages 1471-1488 | Received 27 Jun 2012, Accepted 24 Nov 2012, Published online: 07 Mar 2013

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Yunzhi Jiang & Yongbin Ge. (2023) An explicit high-order compact finite difference scheme for the three-dimensional acoustic wave equation with variable speed of sound. International Journal of Computer Mathematics 100:2, pages 321-341.
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Dingwen Deng. (2019) Numerical Simulation of the Coupled Sine-Gordon Equations via a Linearized and Decoupled Compact ADI Method. Numerical Functional Analysis and Optimization 40:9, pages 1053-1079.
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Articles from other publishers (12)

Arshyn Altybay, Aruzhan Nakiskhozhayeva & Dauren Darkenbayev. Numerical simulation and parallel computing of the acoustic wave equation. Numerical simulation and parallel computing of the acoustic wave equation.
Alexander Zlotnik & Timofey Lomonosov. (2024) On stability and error bounds of an explicit in time higher-order vector compact scheme for the multidimensional wave and acoustic wave equations. Applied Numerical Mathematics 195, pages 54-74.
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Mengling Wu, Yunzhi Jiang & Yongbin Ge. (2022) An accurate and efficient local one-dimensional method for the 3D acoustic wave equation. Demonstratio Mathematica 55:1, pages 528-552.
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Dingwen Deng & Qiang Wu. (2021) The error estimations of a two-level linearized compact ADI method for solving the nonlinear coupled wave equations. Numerical Algorithms 89:4, pages 1663-1693.
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Dingwen Deng & Qiang Wu. (2021) Error estimations of the fourth-order explicit Richardson extrapolation method for two-dimensional nonlinear coupled wave equations. Computational and Applied Mathematics 41:1.
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Alexander Zlotnik & Raimondas Čiegis. (2022) On higher-order compact ADI schemes for the variable coefficient wave equation. Applied Mathematics and Computation 412, pages 126565.
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Bo Hou & Yongbin Ge. (2021) High-order compact LOD methods for solving high-dimensional advection equations. Computational and Applied Mathematics 40:3.
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Yunzhi Jiang & Yongbin Ge. (2020) An explicit fourth-order compact difference scheme for solving the 2D wave equation. Advances in Difference Equations 2020:1.
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Juan Chen & Fangqi Chen. (2020) Unconditional L∞ convergence of a compact ADI scheme for coupled nonlinear Schrödinger system. Applied Numerical Mathematics 153, pages 430-442.
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Jiankang Liu & Suying Zhang. (2020) A New Numerical Approximation Method for Two-Dimensional Wave Equation with Neumann Damped Boundary. Complexity 2020, pages 1-14.
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Tingfu Ma & Yongbin Ge. (2019) A higher-order blended compact difference (BCD) method for solving the general 2D linear second-order partial differential equation. Advances in Difference Equations 2019:1.
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Baohui Hou, Dong Liang & Hongmei Zhu. (2019) The Conservative Time High-Order AVF Compact Finite Difference Schemes for Two-Dimensional Variable Coefficient Acoustic Wave Equations. Journal of Scientific Computing 80:2, pages 1279-1309.
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