4 citations · 4 across the 8 of their papers we have counts for
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Error estimates of invariant-preserving difference schemes for the rotation-two-component Camassa--Holm system with small energy
Qifeng Zhang, Jiyuan Zhang, Zhimin Zhang
A rotation-two-component Camassa-Holm (R2CH) system was proposed recently to describe the motion of shallow water waves under the influence of gravity. This is a highly nonlinear a…
Fully Conservative Difference Schemes for the Rotation-Two-Component Camassa-Holm System with Smooth/Nonsmooth Initial Data
Tong Yan, Jiwei Zhang, Qifeng Zhang
The rotation-two-component Camassa--Holm system, which possesses strongly nonlinear coupled terms and high-order differential terms, tends to have continuous nonsmooth solitary wav…
The energy method for high-order invariants in shallow water wave equations
Qifeng Zhang, Tongyan, Guang-hua Gao
Third order dispersive evolution equations are widely adopted to model one-dimensional long waves and have extensive applications in fluid mechanics, plasma physics and nonlinear o…
Optimal convergence rate of the explicit Euler method for convection-diffusion equations II: high dimensional cases
Qifeng Zhang, Jiyuan Zhang, Zhi-zhong Sun
This is the second part of study on the optimal convergence rate of the explicit Euler discretization in time for the convection-diffusion equations [Appl. Math. Lett. \textbf{131}…
Uniform convergence and stability of linearized fourth-order conservative compact scheme for Benjamin-Bona-Mahony-Burgers' equation
Qifeng Zhang, Lingling Liu
In the paper, a newly developed three-point fourth-order compact operator is utilized to construct an efficient compact finite difference scheme for the Benjamin-Bona-Mahony-Burger…
A conservative difference scheme with optimal pointwise error estimates for two-dimensional space fractional nonlinear Schrödinger equations
Hongling Hu, Xianlin Jin, Dongdong He +2
In this paper, a linearized semi-implicit finite difference scheme is proposed for solving the two-dimensional (2D) space fractional nonlinear Schrödinger equation (SFNSE).The sche…