Wenping Chen
Beihang University
11 Papers
22 Citations
Wenping Chen is an academic researcher from Beihang University. The author has contributed to research in topics: Spectral method & Fractional calculus. The author has an hindex of 6, co-authored 11 publications. Previous affiliations of Wenping Chen include Guilin University of Electronic Technology.
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Papers
A unified numerical scheme for the multi-term time fractional diffusion and diffusion-wave equations with variable coefficients
Hu Chen,Shujuan Lü,Wenping Chen +2 more
TL;DR: A unified numerical scheme based on finite difference method in time and Legendre spectral method in space is proposed, which converges at the convergence rate of O ( τ 2 + N 1 − m) , where τ, N, and m are the time-step size, polynomial degree, and regularity in the space variable of the exact solution, respectively.
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Spectral methods for the time fractional diffusion-wave equation in a semi-infinite channel
Hu Chen,Shujuan Lü,Wenping Chen +2 more
TL;DR: This paper considers the numerical approximation of the time fractional diffusion-wave equation in a semi-infinite channel and proposes an alternating direction implicit (ADI) spectral scheme in order to reduce the amount of computation.
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Finite difference scheme for multi-term variable-order fractional diffusion equation
TL;DR: In this paper, a multi-term variable-order fractional diffusion equation on a finite domain is considered and a finite difference scheme is proposed to approximate the temporal direction derivative by L1-algorithm and the spatial direction derivative using the standard and shifted Grunwald method, respectively.
Spectral and pseudospectral approximations for the time fractional diffusion equation on an unbounded domain
Hu Chen,Shujuan Lü,Wenping Chen +2 more
TL;DR: A fully discrete scheme based on finite difference method in time and spectral approximation using Laguerre functions in space is proposed, which is unconditionally stable and convergent.
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Gauss-Lobatto-Legendre-Birkhoff pseudospectral scheme for the time fractional reaction–diffusion equation with Neumann boundary conditions
TL;DR: It is proved that the scheme is unconditionally stable and convergent with order, where τ, N and m stand for the time step, polynomial degree and spatial regularity of the exact solution.
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