Shujuan Lü
Beihang University
23 Papers
68 Citations
Shujuan Lü 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 8, co-authored 23 publications.
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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.
Random attractor for fractional ginzburg-landau equation with multiplicative noise
Hong Lu,Shujuan Lü +1 more
TL;DR: In this article, the authors considered the asymptotic behavior of solutions to the stochastic fractional complex Ginzburg-Landau equation with multiplicative noise in one spatial dimension.
Fourier spectral approximation to long-time behaviour of the derivative three-dimensional Ginzburg-Landau equation
TL;DR: In this article, a fully discrete Galerkin-Fourier spectral approximation scheme is constructed, and then the dynamical behavior of the discrete system is analyzed. But the convergence of approximate attractors is proved only by error estimates of a discrete solution.
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