In this paper, firstly, the finite difference method is explored for the fourth-order fractional
diffusion–wave system. The method is proved to be uniquely solvable, stable and …

A conservative three‐level linear finite difference scheme for the numerical solution of the
initial‐boundary value problem of Rosenau‐KdV equation is proposed. The difference …

In this paper, we propose two implicit compact difference schemes for the fractional cable
equation. The first scheme is proved to be stable and convergent in l∞-norm with the …

The paper is concerned with the time step condition of the commonly-used semi-implicit
Crank–Nicolson finite difference schemes for a coupled nonlinear Schrödinger system in …

In this paper, a new implicit compact difference scheme is constructed for the fourth-order
fractional diffusion-wave system by the method of order reduction. The temporal Caputo …

In this article, two different second-order numerical differential formulas have been derived
for the Caputo derivatives CD 0, t α ft,(0< α< 1) and CD 0, t β ft,(1< β< 2) at point t k+ 1∕ 2 …

In this article, some conservative compact difference schemes are explored for the strongly
coupled nonlinear schrödinger system. After transforming the scheme into matrix form, we …

We study the initial-boundary problem of dissipative symmetric regularized long wave
equations with damping term by finite difference method. A linear three-level implicit finite …

In this paper, we propose a fully implicit nonconforming virtual element method for solving
the Sobolev equations with Burger's type nonlinearity by utilizing the backward Euler …

Two conservative finite difference schemes for the numerical solution of the initialboundary
value problem of Rosenau‐Kawahara equation are proposed. The difference schemes …