In this paper, a high-order and efficient numerical technique is constructed to solve nonlocal
neutron diffusion equation with delayed neutrons representing neutron transport in a nuclear …

This paper explores a class of unbounded distributed delayed inertial neural networks. By
introducing some new differential inequality analysis and abandoning the traditional order …

In this paper, a second-order scheme with nonuniform time meshes for Caputo–Hadamard
fractional sub-diffusion equations with initial singularity is investigated. Firstly, a Taylor-like …

In this paper, mathematical analysis and numerical methods for Caputo-Hadamard fractional
diffusion-wave equations with initial singularity are investigated. By adopting the modified …

A high-order compact alternating direction implicit scheme is considered to solve the two-
dimensional time-fractional integro-differential equation with weak singularity near the initial …

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 investigate the global dynamics of a controlled discontinuous diffusive SIR
epidemic system under Neumann boundary conditions. We first establish the conditions for …

In this paper, a compact finite difference scheme is constructed and investigated for the
fourth‐order time‐fractional integro‐differential equation with a weakly singular kernel. In the …

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 …

We propose and analyze a time-stepping Crank-Nicolson (CN) alternating direction implicit
(ADI) scheme combined with an arbitrary-order orthogonal spline collocation (OSC) …