Meshfree radial basis function (RBF) methods are popular tools used to numerically solve
partial differential equations (PDEs). They take advantage of being flexible with respect to …

In this paper, we consider the numerical study for the multi-dimensional fractional-in-space
Allen-Cahn equation with homogeneous Dirichlet boundary condition. By utilizing Strang's …

In this paper, we propose a three-level linearly implicit combined compact difference method
(CCD) together with alternating direction implicit method (ADI) for solving the generalized …

Compact difference schemes have been used extensively for solving the incompressible
Navier–Stokes equations. However, the earlier formulations of the schemes are of central …

Based on the combined compact difference scheme, an alternating direction implicit method
is proposed for solving two-dimensional cubic nonlinear Schrödinger equations. The …

In this paper, we propose a high-order scheme for the numerical solution of multi-term time
fractional diffusion-wave (FDW) equation in one and two-dimensional on non-uniform grids …

针对三维非稳态对流扩散反应方程, 构造了一种高精度紧致有限差分格式,
对空间的离散采用四阶紧致差分方法, 对时间的离散采用Taylor 级数展开和余项修正技术 …

In this paper, the radial integration boundary element method without internal cells is
presented for solving steady convection-conduction problem with spatially variable velocity …

This paper is devoted to the discussion of numerical methods for solving two-dimensional
time-fractional advection-diffusion equations. Two different three-point combined compact …

In this work, a fourth-order in space and second-order in time compact scheme, a sixth-order
in space and second-order in time compact scheme and two linearized compact schemes …