Differential equations are fundamental tools in physics: they are used to describe phenomena ranging from fluid dynamics to general relativity. But when these equations become stiff (i.e. they involve ...

If you use Excel 40 hours a week (and those are the weeks you are on vacation), welcome to the MrExcel channel. Home to 2,400 ...

If you use Excel 40 hours a week (and those are the weeks you are on vacation), welcome to the MrExcel channel. Home to 2,400 ...

Solving an equation means finding the value or values for which the two expressions on each side of the equals sign are equal. One of the most common methods used to solve equations is the balance ...

A number machine is a way of writing rules using a flow diagram. The equation \(3j - 6 = 9\) can be shown on a number machine by writing out the functions that have been applied to \(j\) in the order ...

Abstract: Conventional techniques such as Cardano's formula include complex calculations and are often performed. This study represents an effective and accessible approach to dealing with cubic ...

The Backward Euler and Crank–Nicolson methods are solved using a tridiagonal solver implementing the Thomas algorithm. The first and last rows correspond to the boundary conditions, and the interior ...

Abstract: In this paper, a novel approach leveraging artificial neural networks is introduced to approximate solutions for partial differential equations. The one ...