In this paper, the H 2 N 2 method and compact finite difference scheme are proposed for the
fourth-order time-fractional diffusion-wave equations. In order to improve the efficiency of …

In this work, we consider a Sinc-collocation method for solving the fourth-order partial
integro-differential equation with the multi-term kernels. In the temporal direction, the time …

In this paper, we shall present the alternating direction implicit (ADI) Galerkin finite element
method (FEM) for solving the distributed-order time-fractional mobile–immobile equation in …

In this work, the nonlinear time fractional diffusion equation with Caputo fractional derivative
of order α∈(0, 1) is considered. By the well-known L1-type formula of Caputo derivative on a …

In this paper, an alternating direction implicit (ADI) compact difference scheme will be
proposed for solving semilinear time-fractional mobile–immobile equations in two …

One of the most significant applications of mathematical numerical methods in biology is the
theoretical description of the convectional reaction–diffusion of chemical compounds. Initial …

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 …

The air spring for railway vehicles uses the air pressure inside the bellows to absorb
vibration and shock to improve ride comfort and adjust the height of the underframe with a …

In this manuscript, we consider an efficient dissipation-preserving finite element method for a
class of two-dimensional nonlinear fractional wave equations on irregular convex domains …

The numerical solutions of time α-order (α∈(0, 1)) Caputo fractional Fokker-Planck
equations is considered. The constructed method is consist of the transformed L1 (TL1) …