4 papers
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…
Global bifurcation and stability of steady states for a bacterial colony model with density-suppressed motility
Manjun Ma, Peng Xia, Qifeng Zhang +1
We investigate the structure and stability of the steady states for a bacterial colony model with density-suppressed motility. We treat the growth rate of bacteria as a bifurcation…
Global stability of traveling waves with oscillations for Nicholson's blowflies equation
Ming Mei, Kaijun Zhang, Qifeng Zhang
For Nicholson's blowflies equation, a kind of reaction-diffusion equations with time-delay, when the ratio of birth rate coefficient and death rate coefficient satisfies $\frac{p}δ…