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Applicable Analysis
An International Journal
Volume 96, 2017 - Issue 7
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Articles

Analysis of new conservative difference scheme for two-dimensional Rosenau-RLW equation

Ahlem GhiloufiDepartment of Mathematics and informatics, Institut Supérieur des Sciences Appliquées et de Technologie de Sousse, Sousse, Tunisia.Correspondence[email protected]
&
Tlili KadriDepartment of Mathematics, Faculté des Sciences de Tunis, Tunis, Tunisia.
Pages 1255-1267 | Received 22 May 2015, Accepted 28 Apr 2016, Published online: 06 Jun 2016

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Xiaofeng Wang, Weizhong Dai & Yun Yan. (2021) Numerical analysis of a new conservative scheme for the 2D generalized Rosenau-RLW equation. Applicable Analysis 100:12, pages 2564-2580.
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Khedidja Bayarassou, Asma Rouatbi & Khaled Omrani. (2020) Uniform error estimates of fourth-order conservative linearized difference scheme for a mathematical model for long wave. International Journal of Computer Mathematics 97:8, pages 1678-1703.
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Mostafa Abbaszadeh & Mehdi Dehghan. (2018) The two-grid interpolating element free Galerkin (TG-IEFG) method for solving Rosenau-regularized long wave (RRLW) equation with error analysis. Applicable Analysis 97:7, pages 1129-1153.
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Articles from other publishers (18)

Mostafa Abbaszadeh, Mahmoud A. Zaky, Ahmed S. Hendy & Mehdi Dehghan. (2023) A two-grid spectral method to study of dynamics of dense discrete systems governed by Rosenau-Burgers' equation. Applied Numerical Mathematics 187, pages 262-276.
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Ankur, Ram Jiwari & Naresh Kumar. (2023) Analysis and simulation of Korteweg-de Vries-Rosenau-regularised long-wave model via Galerkin finite element method. Computers & Mathematics with Applications 135, pages 134-148.
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Asma Rouatbi, Ahlem Ghiloufi & Khaled Omrani. (2022) An efficient tool for solving the Rosenau–Burgers equation in two dimensions. Computational and Applied Mathematics 41:5.
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Khaled Omrani, Hajer Debebria & Khedidja Bayarassou. (2020) On the numerical solution of two-dimensional Rosenau–Burgers (RB) equation. Engineering with Computers 38:1, pages 715-726.
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. (2022) Numerical approach of dispersive shallow water waves with Rosenau-KdV-RLW equation in (2 + 1)-dimensions. Discrete and Continuous Dynamical Systems - S 0:0, pages 0-0.
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Khaled Omrani & Ahlem Ghiloufi. (2020) An efficient computational approach for two-dimensional variant of nonlinear-dispersive model of shallow water wave. Engineering with Computers 37:4, pages 2679-2688.
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Hong Cheng & Xiaofeng Wang. (2021) A high-order linearized difference scheme preserving dissipation property for the 2D Benjamin-Bona-Mahony-Burgers equation. Journal of Mathematical Analysis and Applications 500:2, pages 125182.
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Yu.I. Dimitrienko, Shuguang Li & Yi Niu. (2021) 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 182, pages 661-689.
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Hong Cheng & Xiaofeng Wang. (2021) Stability analysis of a high-order finite-difference scheme for the Korteweg–de Vries equation with non-homogeneous boundaries. Computational and Applied Mathematics 40:2.
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Xiaofeng Wang, Weizhong Dai & Muhammad Usman. (2021) A high-order accurate finite difference scheme for the KdV equation with time-periodic boundary forcing. Applied Numerical Mathematics 160, pages 102-121.
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Talha Achouri, Tlili Kadri & Khaled Omrani. (2021) Analysis of finite difference schemes for a fourth-order strongly damped nonlinear wave equations. Computers & Mathematics with Applications 82, pages 74-96.
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N. Tamang, B. Wongsaijai, T. Mouktonglang & K. Poochinapan. (2020) Novel algorithm based on modification of Galerkin finite element method to general Rosenau-RLW equation in (2 + 1)-dimensions. Applied Numerical Mathematics 148, pages 109-130.
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Xiaofeng Wang & Weizhong Dai. (2019) A conservative fourth-order stable finite difference scheme for the generalized Rosenau–KdV equation in both 1D and 2D. Journal of Computational and Applied Mathematics 355, pages 310-331.
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Mostafa Abbaszadeh & Mehdi Dehghan. (2019) The interpolating element-free Galerkin method for solving Korteweg–de Vries–Rosenau-regularized long-wave equation with error analysis. Nonlinear Dynamics 96:2, pages 1345-1365.
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Asma Rouatbi, Talha Achouri & Khaled Omrani. (2018) High-order conservative difference scheme for a model of nonlinear dispersive equations. Computational and Applied Mathematics 37:4, pages 4169-4195.
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Noureddine Atouani, Yousra Ouali & Khaled Omrani. (2017) Mixed finite element methods for the Rosenau equation. Journal of Applied Mathematics and Computing 57:1-2, pages 393-420.
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Tao Chen, Kaili Xiang, Peimin Chen & Xumei Luo. (2018) A New Linear Difference Scheme for Generalized Rosenau-Kawahara Equation. Mathematical Problems in Engineering 2018, pages 1-8.
Crossref
Tao Chen & Kaili Xiang. (2017) A New Nonlinear Conservative Difference Scheme for Generalized Rosenau-Kawahara Equation. SSRN Electronic Journal.
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