6 citations · 9 across the 3 of their papers we have counts for
3 papers
math.NA2020★ 3 cited
Log orthogonal functions: approximation properties and applications
Sheng Chen, Jie Shen
We present two new classes of orthogonal functions, log orthogonal functions (LOFs) and generalized log orthogonal functions (GLOFs), which are constructed by applying a map…
math.NA2017
Laguerre Functions and Their Applications to Tempered Fractional Differential Equaitons on Infinite Intervals
Sheng Chen, Jie Shen, Lilian Wang
Tempered fractional derivatives originated from the tempered fractional diffusion equations (TFDEs) modeled on the whole space R (see [23]). For numerically solving TFDEs, two kind…
math.NA2014★ 6 cited
Generalized Jacobi Functions and Their Applications to Fractional Differential Equations
Sheng Chen, Jie Shen, Li-Lian Wang
In this paper, we consider spectral approximation of fractional differential equations (FDEs). A main ingredient of our approach is to define a new class of generalized Jacobi func…