The effect of nonlinear supratransmission is an important property of many discrete
structures. A necessary condition for its existence is the discreteness and nonlinearity of the …

An efficient numerical technique is proposed to solve one-and two-dimensional space
fractional tempered fractional diffusion-wave equations. The space fractional is based on the …

The main aim of the current paper is to propose an efficient numerical technique for solving
two-dimensional space-multi-time fractional Bloch–Torrey equations. The current research …

This paper introduces a high-order numerical procedure to solve the two-dimensional
distributed-order Riesz space-fractional diffusion equation. In the proposed technique, first, a …

In this work, we investigate numerically a model governed by a multidimensional nonlinear
wave equation with dam** and fractional diffusion. The governing partial differential …

In this work, we generate a nonlinear supratransmission phenomenon in a chain of coupled
pendulum pairs, where each pendulum is connected to the nearest neighbours in the …

We study the phenomenon of supratransmission (that is, the sudden transmission of energy
above a sharp threshold amplitude of periodic boundary excitations) on an N-particle one …

In this work, we investigate a general nonlinear wave equation with Riesz space-fractional
derivatives that generalizes various classical hyperbolic models, including the sine-Gordon …

In the current investigation, an error estimate has been proposed to solve the two-
dimensional weakly singular integro-partial differential equation with space and time …

The fractional PDEs based upon the distributed-order fractional derivative have several
applications in physics. The two-dimensional time-space distributed-order weakly singular …