In this paper, we present a fourth-order difference scheme for solving the Allen-Cahn
equation in both 1D and 2D. The proposed scheme is described by the compact difference …

Many practical systems can be modeled in terms of uncertainties, which refer to the
differences or errors between actual data and mathematical simulations. However, systems …

In this study, the challenges of the controller design of a class of Uncertain Switched Neutral
Systems (USNSs) in the presence of discrete, neutral, and time-varying delays are …

In this work, we investigate h-ϕ contraction mappings with two metrics endowed with a
directed graph which involve auxiliary functions. The achievement allows us to obtain …

In this study, numerical solution of generalized Rosenau–Kawahara equation with quintic B-
spline collocation finite element method has been obtained. First, the generalized Rosenau …

The global stability problem for a class of linear switched positive time‐varying delay
systems (LSPTDSs) with interval uncertainties by means of a fast average dwell time (FADT) …

In this paper, we present a class of high-order linearly implicit energy-conserving schemes
for solving the generalized Rosenau-type equation. We firstly reformulate the equation into a …

A compact difference operator is a valuable technique which has been used to develop
numerical schemes capable of solving various types of differential equations. Advantages of …

This paper presents an energy stable scheme for the numerical solution of the Allen–Cahn
equation. The scheme combines the Crank–Nicolson/Adams–Bashforth technique with the …

The good Boussinesq equation, a modification of the Boussinesq equation, aims to enhance
predictions about shallow water wave behavior. This paper introduces two finite difference …