More than a century before quantum mechanics was born, Irish mathematician William Rowan Hamilton stumbled onto an idea that would quietly foreshadow one of the deepest truths in physics. While ...
Abstract: This letter proposes a generalized and controllable-stability conformal method to address stability challenges inherent in conformal finite-difference time-domain algorithms. A quantitative ...
This study introduces a relatively new numerical technique for solving one-dimensional Fisher’s equation. The proposed numerical technique is a simple direct meshless method, which is based on the ...
Abstract: This article presents the finite-difference time-domain (FDTD) method for gauge-invariant field-impulses, which constitute the fundamental physical quantities of electromagnetics (EM) in ...
ABSTRACT: Black-Scholes Model (B-SM) simulates the dynamics of financial market and contains instruments such as options and puts which are major indices requiring solution. B-SM is known to estimate ...
All the codes are distributed under MIT License on GitHub and are free to use, modify, and distribute giving the proper copyright notice. This repository proposes a way to achieve approximations to ...
A novel stochastic numerical scheme is introduced to solve stochastic differential equations. The development of the scheme is based on two different parts. One part finds the solution for the ...
1 Department of Mathematics, Comilla University, Kotbari, Bangladesh. 2 Department of Mathematical Sciences, Kent State University, Kent, OH, USA. In this paper, we investigate and analyze ...