4 Papers
Yan Mo is an academic researcher from Guangdong University of Technology. The author has contributed to research in topics: Alternating direction implicit method & Gronwall's inequality. The author has an hindex of 2, co-authored 4 publications.
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Papers
Sharp error estimate of a compact L1-ADI scheme for the two-dimensional time-fractional integro-differential equation with singular kernels
Zhibo Wang,Dakang Cen,Yan Mo +2 more
TL;DR: In this article, a high-order compact alternating direction implicit scheme is considered to solve the two-dimensional time-fractional integro-differential equation with weak singularity near the initial time.
54
Second order difference schemes for time-fractional KdV–Burgers’ equation with initial singularity
Dakang Cen,Zhibo Wang,Yan Mo +2 more
TL;DR: The famous L 2 - 1 σ formula on graded meshes is adopted to approximate the Caputo derivative and a nonlinear finite difference method on uniform grids is deduced for spatial discretization.
48
A novel high order compact ADI scheme for two dimensional fractional integro-differential equations
Zhibo Wang,Yuxiang Liang,Yan Mo +2 more
TL;DR: In this paper, a numerical method for two dimensional fractional integro-differential equations was proposed, where the order of time fractional derivative α ∈ ( 1, 2 ) and integral order γ ∈( 0, 1 ) were transformed using the method of integration by parts to overcome the difficulty caused by the two fractional terms.
6
A high order difference method for fractional sub-diffusion equations with the spatially variable coefficients under periodic boundary conditions
Huiqin Zhang,Yan Mo,Zhibo Wang +2 more
TL;DR: In this article, a finite difference scheme with global convergence order O(τ2 + h4) for a class of the Caputo fractional equation is proposed, and the unique solvability, stability and convergence of the finite difference schemes are proved by use of the Fourier method.