This paper will solve one of the fractional mathematical physics models, a one-dimensional
time-fractional differential equation, by utilizing the second-order quarter-sweep finite …

This work aims at a new semi-analytical technique called the Adomian decomposition
method for the analysis of time-fractional Emden–Fowler equations. The Laplace …

Motivated by the wide‐spread of both integer and fractional third‐order dispersive Korteweg‐
de Vries (KdV) equations in explaining many nonlinear phenomena in a plasma and many …

In this article, we consider the two‐dimensional nonlinear time–space fractional Schrödinger
equation with space described by the fractional Laplacian. A second‐order fractional …

In this paper, we study a stabilizer-free weak Galerkin (SFWG) finite element method with
second-order accuracy in time for solving time-fractional diffusion equation. We apply the …

In this paper, we study a posteriori error estimates of the fast L 1− 2 scheme for time
discretization of time fractional parabolic differential equations. To overcome the huge …

This paper develops novel fast numerical solvers for subdiffusion problems with spatial
interfaces. These problems are modeled by partial differential equations that contain both …

Late-time negative responses in central-loop transient electromagnetic (TEM) data are often
linked to the induced polarization (IP) effect. Early methods for modeling the IP effect in TEM …

This paper presents a fast solver for time-fractional two-dimensional convection-diffusion
problems that maintains non-negativity of numerical solutions. To this end, two new …

In this paper, we study the L 1− 2 method for solving numerically a class of time fractional
parabolic differential equations on a graded mesh. Based on the nonsmooth regularity …