4 papers · 1 filter
Finite difference methods for three kinds of reaction-diffusion equations with free boundaries
Caiyun Huang, Weizhi Liao, Weiping Bu
This work considers to numerically solve three kinds of reaction-diffusion equations with free boundaries. First, the popular front-fixing method is used to transform the considere…
Numerical simulation of the dual-phase-lag heat conduction equation on a one-dimensional unbounded domain using artificial boundary condition
Weiping Bu, Zhengfang Xie, Yushi Wang
This paper focuses on the numerical solution of a dual-phase-lag heat conduction equation on a space unbounded domain. First, based on the Laplace transform and the Padé approximat…
Finite element method for a constant time delay subdiffusion equation with Riemann-Liouville fractional derivative
Weiping Bu, Chen Nie, Weizhi Liao
This work considers to numerically solve a subdiffusion equation involving constant time delay and Riemann-Liouville fractional derivative. First, a fully discrete finite eleme…
Finite element method with Grünwald-Letnikov type approximation in time for a constant time delay subdiffusion equation
Weiping Bu, Xueqin Zhang, Weizhi Liao +1
In this work, a subdiffusion equation with constant time delay is considered. First, the regularity of the solution to the considered problem is investigated, finding that its…