68 Papers
153 Citations
Da Xu is an academic researcher from Hunan Normal University. The author has contributed to research in topics: Discretization & Alternating direction implicit method. The author has an hindex of 18, co-authored 68 publications.
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Papers
Alternating direction implicit Galerkin finite element method for the two-dimensional fractional diffusion-wave equation
TL;DR: In these methods, Galerkin finite element is used for the spatial discretization, and, for the time stepping, new alternating direction implicit (ADI) method based on the Crank-Nicolson method are considered.
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A time two-grid algorithm based on finite difference method for the two-dimensional nonlinear time-fractional mobile/immobile transport model
TL;DR: A time two-grid algorithm based on the finite difference (FD) method for the two-dimensional nonlinear time-fractional mobile/immobile transport model is proposed, which is much more efficient than the general FD scheme for solving the nonlinear FD system.
68
Crank-Nicolson/quasi-wavelets method for solving fourth order partial integro-differential equation with a weakly singular kernel
Xuehua Yang,Da Xu,Haixiang Zhang +2 more
TL;DR: Comparisons of present results with the previous ones show that the present scheme is more stable and efficient for numerically solving the fourth order partial integro-differential equation with a weakly singular kernel.
56
A second-order BDF compact difference scheme for fractional-order Volterra equation
TL;DR: The stability and convergence of the compact difference scheme in a new norm are proved by the energy method.
52
An ADI Crank---Nicolson Orthogonal Spline Collocation Method for the Two-Dimensional Fractional Diffusion-Wave Equation
TL;DR: It is proved that this scheme is stable, and of optimal accuracy in various norms, and the predicted global convergence rates and also superconvergence are demonstrated.
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