3 papers
math.NA2025
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 approxima…
math.NA2025
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 elem…
math.NA2025
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…