MATLAB implementation of Scalar Auxiliary Variable (SAV) schemes for three geometrically nonlinear stiff string models, using Finite-Difference Time-Domain (FDTD) spatial discretisation. All solvers ...

This paper concerns the numerical simulation of internal recirculating flows encompassing a two-dimensional viscous incompressible flow generated inside a regularized square driven cavity and over a ...

1 Department of Basic Science and Engineering, Faculty of Engineering, University of Khartoum, Khartoum, Sudan. 2 Department of Applied Mathematics, Faculty of Mathematical Sciences, University of ...

Abstract: In this research, we present two Numerical algorithms for studying the dynamics of spatially extended coupled nonlinear reaction-diffusion model. The difference in this work is to model a ...

Abstract: Interference and diffraction of light are elementary topics in optics. The aim of the work presented here is to develop an accurate and cheap optical-system simulation software that provides ...

This work focuses on the development and analysis of a financial system using advanced mathematical modeling techniques. Starting from an ordinary financial system, we extend it to a fractional-order ...

Thermal action is a crucial process in laser processing. The classical Fourier heat conduction theory, which assumes an infinite speed of heat propagation, is commonly applied to describe steady-state ...

Computational fluid dynamics (or CFD) is a branch of fluid mechanics. Different types of numerical techniques and data structures used to examine various problems. Fluid flow (liquid or gas) can be ...

Learn methods for interpolation, numerical integration and derivation, and finite difference methods for differential equations. You can use these live scripts as demonstrations in lectures, class ...