Abstract: This research investigates and compares the overall performance of different numerical methods, and focuses on their accuracy, what will be the convergence rate, and the computational cost ...
ABSTRACT: A system of ordinary differential equations (ODEs) is produced by the semi-discretize method of discretizing the advection diffusion equation (ADE). Runge-Kutta methods of the second and ...
This study introduced an efficient method for solving non-linear equations. Our approach enhances the traditional spectral conjugate gradient parameter, resulting in significant improvements in the ...
Developing an accurate mathematical model for parameter extraction in photovoltaic modules is a crucial endeavor in optimizing photovoltaic energy systems. This study seeks to assess and compare ...
Several major retailers in the U.S. use a century-old accounting practice known as “the retail inventory method,” which relies on retail prices to estimate inventory, even though it fails to take full ...
Euler Method: The simplest numerical method for solving ODEs, which uses the derivative to project forward. [ y_{n+1} = y_n + h \cdot f(x_n, y_n) ] Heun's Method (Improved Euler Method): A two-step ...
The program solves 2D steady-state and transient problems of structural analysis (linear-elasticity) and thermal analysis (conductive and convective heat transfer) with isoparametric and isogeometric ...