Fractional equations have been paid much attention in recent years. Barycentric
interpolation collocation algorithm (BICA) is proposed to solve the fractional differential …

In this paper, a generalized finite difference method (GFDM) is proposed and analyzed for
meshless numerical solution of the time-fractional diffusion-wave equation. Two (3− α)-order …

In this article, we construct an efficient numerical algorithm with the second-order time
accuracy for a two-dimensional nonlinear fourth-order fractional wave equation. We …

In this paper, we focus on the computation of Caputo-type fractional differential equations. A
high-order predictor–corrector method is derived by applying the quadratic interpolation …

In this paper, we develop an efficient difference scheme for the non-Fickian time-fractional
diffusion equations with variable coefficient. This model may be considered as a …

This paper considers the numerical approximation to the fourth-order fractional diffusion-
wave equation. Using a separation of variables, we can construct the exact solution for such …

本文主要研究了二维非线性四阶分数阶波动方程的有效数值算法. 通过结合二阶BDF2-WSGI
时间离散格式与有限元方法对二维非线性四阶分数阶方程进行求解. 首先, 引入辅助变量 …

An oscillating second-grade fluid through a rectangular cross duct is studied. A traditional
integer time derivative in the kinematic tensors is substituted by a fractional operator that …

本文针对一类四阶非线性时间分数阶双曲方程构造了一种具有时空二阶精度的数值算法.
首先引入一个低阶参数β= α-1 将一个α∈(1, 2) 的Caputo 分数阶导数降为β∈(0, 1) 的Caputo …