Photonic Finite-Difference Frequency-Domain (FDFD) Toolbox is a MATLAB Community Toolbox project, aiming to provide intuitive framework for photonic devices simulation using MATLAB. Note: The toolbox ...

ABSTRACT: The solution of the Riemann Problem (RP) for the one-dimensional (1D) non-linear Shallow Water Equations (SWEs) is known to produce four potential wave patterns for the scenario where the ...

A new approach in the finite difference framework is developed, which consists of three steps: choosing the dimension of the local approximation subspace, constructing a vector basis for this subspace ...

In today's hyper-connected world, cyber threats are more sophisticated and frequent than ever - ransomware attacks, data breaches, social engineering scams, and advanced persistent threats targeting ...

ABSTRACT: This paper presents a comprehensive numerical study of the two-dimensional time-dependent heat conduction equation using the Forward Time Centered Space (FTCS) finite difference scheme. The ...

The research findings have demonstrated that finite difference methods offer a powerful tool for approximating option prices and hedging parameters, especially in cases where closed-form solutions are ...

In numerous physical and biological systems, differential equations with parameters are commonly used to model specific behaviors or phenomena. These parameters frequently represent physical ...

Abstract: The unconditionally stable (US) Chebyshev (CS) finite-difference time-domain (FDTD) method is extended for solving the problems of long-time simulation or harmonic resonance using a ...

The Philadelphia Eagles have a chance to get some revenge. Philadelphia is just under two weeks away from facing off against the Kansas City Chiefs in the Super Bowl. Kansas City is looking for its ...

The common techniques for solving two-point boundary value problems can be classified as either "shooting" or "finite difference" methods. Central to a shooting method is the ability to integrate the ...