In this paper, an implicit robust difference method with graded meshes is constructed for the
modified Burgers model with nonlocal dynamic properties. The L1 formula on graded …

This work proposes a robust ADI scheme on graded mesh for solving three-dimensional
subdiffusion problems. The Caputo fractional derivative is discretized by L1 scheme, where …

In this paper, a fully-discrete alternating direction implicit (ADI) difference method is
proposed for solving three-dimensional (3D) fractional subdiffusion equations with variable …

This paper proposes a Crank-Nicolson alternating direction implicit (CN-ADI) finite
difference scheme for solving the three-dimensional nonlocal evolution equation with multi …

In this paper, an implicit difference scheme is constructed for the fourth-order nonlinear non-
local partial integro-differential equations (PIDEs) with a weakly singular kernel. The Caputo …

This paper proposes the shifted Legendre Gauss–Lobatto collocation (SL‐GLC) scheme to
solve two‐dimensional space‐fractional coupled reaction–diffusion equations (SFCRDEs) …

For solving the two‐and three‐dimensional time‐fractional subdiffusion equations (TFDE)
whose solutions have weak singularities, the L1FEM‐ADI scheme is established. The …

In this paper, the numerical solution for two-dimensional nonlinear parabolic equations is
studied using an alternating-direction implicit (ADI) Crank–Nicolson (CN) difference scheme …

In this work, we consider a numerical approximation for the two-dimensional fractal
mobile/immobile transport equation with weakly singular solutions, where the time first-order …

In this paper, a 2D multiterm nonlinear problem of the form∑ m= 1 lqm D t α mu− Δ u= f (u)
∑ _ m&# x0003D; 1 &# x0005E; lq _m D _t&# x0005E;\alpha_m u-Δ …