This paper analyzes a number of high-order and optimized finite-difference methods for numerically simulating the propagation and scattering of linear waves, such as electromagnetic, acoustic, and elastic waves. The spatial operators analyzed include compact schemes, noncompact schemes, schemes on staggered grids, and schemes which are optimized to produce specific characteristics. The time-mar...

The bidomain model is a system of partial differential equations used to model the propagation of electrical potential waves in the myocardium. It is composed of coupled parabolic and elliptic partial differential equations, as well as at least one ordinary differential equation to model the ion activity through the cardiac cell membranes. The purpose of this paper is to propose and analyze sev...

In this paper, a fractional order model based on the management of waste plastic in ocean (FO-MWPO) is numerically investigated. The mathematical form FO-MWPO categorized into three components, plastic, Marine debris, and recycling. stochastic numerical solvers using Levenberg-Marquardt backpropagation neural networks (LMQBP-NNs) have been applied to present solutions system. competency method ...

Visceral leishmaniosis is one recent example of a global illness that demands our best efforts at understanding. Thus, mathematical modeling may be utilized to learn more about and make better epidemic forecasts. By taking into account the Caputo Caputo-Fabrizio derivatives, frictional model visceral was mathematically examined based on real data from Gedaref State, Sudan. The stability analysi...

We develop the third-order adaptive Adams-Bashforth time integration and second-order finite difference equation for variable steps. incorporate these schemes in Celeris Advent software to discretize solve 2D extended Boussinesq equations. This uses a hybrid volume – scheme leverages GPU equations faster than real-time while concurrently visualizing them. The newly added significantly improves ...

We study three key topics in this article, including Casson fluid flow at its stagnation point, heat transfer the current magnetic field, and thermal radiation. Several equations related to coupled mass, momentum, energy are controlled by mathematical model. This is accomplished using appropriate transformations dimensionless partial differential of motion, energy, continuity. The Adam-Bashfort...

Abstract This paper is about to formulate a design of predator–prey model with constant and time fractional variable order. The predator prey act as agents in an ecosystem this simulation. We focus on order Atangana–Baleanu operator the sense Liouville–Caputo. Due nonlocality method, generated by using another FO derivative developed kernel based generalized Mittag-Leffler function. Two fractio...

The purposes of this work are to study the $L^{2}$-stability a Navier-Stokes type model for non-stationary flow in porous media proposed by Hsu and Cheng 1989 develop Lagrange-Galerkin scheme with Adams-Bashforth method solve that numerically.The stability estimate is obtained thanks presence nonlinear drag force term which corresponds Forchheimer term. We derive extending idea characteristics ...