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Mohammad Tanzil Hasan & Chuanju Xu. (2020) The stability and convergence of time-stepping/spectral methods with asymptotic behaviour for the Rosenau–Burgers equation. Applicable Analysis 99:12, pages 2013-2025.
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Deqin Zhou, Liying Wang & Chunlai Mu. (2017) On the regularity of the global attractor for a damped Rosenau equation on R. Applicable Analysis 96:8, pages 1285-1294.
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Mei Ming. (1998) Long-time behaviour of solution for rosenau-burgers equation(II). Applicable Analysis 68:3-4, pages 333-356.
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Articles from other publishers (21)
Wenju Zhao & Guang-Ri Piao. (2023) A reduced Galerkin finite element formulation based on proper orthogonal decomposition for the generalized KDV-RLW-Rosenau equation. Journal of Inequalities and Applications 2023:1.
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Tao Guo, Da Xu & Wenlin Qiu. (2023) Efficient third-order BDF finite difference scheme for the generalized viscous Burgers’ equation. Applied Mathematics Letters 140, pages 108570.
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Kanyuta Poochinapan & Ben Wongsaijai. (2023) Novel advances in high-order numerical algorithm for evaluation of the shallow water wave equations. Advances in Continuous and Discrete Models 2023:1.
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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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Thanasak Mouktonglang, Suriyon Yimnet, Nattakorn Sukantamala & Ben Wongsaijai. (2022) Dynamical behaviors of the solution to a periodic initial–boundary value problem of the generalized Rosenau-RLW-Burgers equation. Mathematics and Computers in Simulation 196, pages 114-136.
Crossref
Crossref
Sibel Özer & Nuri Murat Yağmurlu. (2022) Numerical solutions of nonhomogeneous Rosenau type equations by quintic B‐spline collocation method. Mathematical Methods in the Applied Sciences 45:9, pages 5545-5558.
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Ben Wongsaijai & Kanyuta Poochinapan. (2021) Optimal decay rates of the dissipative shallow water waves modeled by coupling the Rosenau-RLW equation and the Rosenau-Burgers equation with power of nonlinearity. Applied Mathematics and Computation 405, pages 126202.
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Nattakorn Sukantamala & Supawan Nanta. (2021) On Solitary Wave Solutions for the Camassa-Holm and the Rosenau-RLW-Kawahara Equations with the Dual-Power Law Nonlinearities. Abstract and Applied Analysis 2021, pages 1-9.
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Qifeng Zhang, Yifan Qin, Xuping Wang & Zhi-zhong Sun. (2021) The study of exact and numerical solutions of the generalized viscous Burgers’ equation. Applied Mathematics Letters 112, pages 106719.
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Fatma Zürnacı & Muaz Seydaoğlu. (2019) On the convergence of operator splitting for the Rosenau–Burgers equation. Numerical Methods for Partial Differential Equations 35:4, pages 1363-1382.
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Jun Zhang, Zixin Liu, Fubiao Lin & Jianjun Jiao. (2019) Asymptotic Analysis and Error Estimate for Rosenau-Burgers Equation. Mathematical Problems in Engineering 2019, pages 1-8.
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Guang-Ri Piao, June-Yub Lee & Guo-Xian Cai. (2016) Analysis and computational method based on quadratic B-spline FEM for the Rosenau-Burgers equation. Numerical Methods for Partial Differential Equations 32:3, pages 877-895.
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Jiraporn Janwised, Ben Wongsaijai, Thanasak Mouktonglang & Kanyuta Poochinapan. (2014) A Modified Three-Level Average Linear-Implicit Finite Difference Method for the Rosenau-Burgers Equation. Advances in Mathematical Physics 2014, pages 1-11.
Crossref
Crossref
Xintian Pan & Luming Zhang. (2012) A new finite difference scheme for the Rosenau–Burgers equation. Applied Mathematics and Computation 218:17, pages 8917-8924.
Crossref
Crossref
Wenting Li, Kun Jiang & Mingchen Yao. (2011) Local discontinuous Galerkin methods for the Rosenau-Burgers equation. Local discontinuous Galerkin methods for the Rosenau-Burgers equation.
Jinsong Hu, Bing Hu & Youcai Xu. (2011) Average implicit linear difference scheme for generalized Rosenau–Burgers equation. Applied Mathematics and Computation 217:19, pages 7557-7563.
Crossref
Crossref
Desheng Li, Zhuangzhuang Wang, Yongbing Wu & Yao Lu. (2009) A Finite Difference Simulation for Rosenau-Burgers Equation. A Finite Difference Simulation for Rosenau-Burgers Equation.
Bing Hu, Youcai Xu & Jinsong Hu. (2008) Crank–Nicolson finite difference scheme for the Rosenau–Burgers equation. Applied Mathematics and Computation 204:1, pages 311-316.
Crossref
Crossref
Liping Liu, Ming Mei & Yau Shu Wong. (2007) Asymptotic behavior of solutions to the Rosenau–Burgers equation with a periodic initial boundary. Nonlinear Analysis: Theory, Methods & Applications 67:8, pages 2527-2539.
Crossref
Crossref
Liping Liu & Ming Mei. (2002) A better asymptotic profile of Rosenau–Burgers equation. Applied Mathematics and Computation 131:1, pages 147-170.
Crossref
Crossref
Ming Mei. (1998) Large-time behavior of solution for generalized Benjamin–Bona–Mahony–Burgers equations. Nonlinear Analysis: Theory, Methods & Applications 33:7, pages 699-714.
Crossref
Crossref