Abstract: This paper introduces two novel methods for solving multi-order fractional differential equations using Bernstein polynomials. The first method, referred to as the fractional operational ...

Learn how to solve literal equations involving formulas. A literal equation is an equation where the unknown values are represented by variables. To solve a literal equation means to make one of the ...

Subscribe! Want more math video lessons? Visit my website to view all of my math videos organized by course, chapter, and section. The purpose of posting my free video tutorials is to not only help ...

A MECHANICAL calculating machine for solving simultaneous linear equations up to ten in number under construction at the Massachusetts Institute of Technology by Drs. V. Bush and J. B. Wilbur was ...

Simultaneous linear equations are used to model situations where two relationships must be satisfied at the same time. These problems often involve two interdependent variables, such as comparing ...

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 ...

Department of Computer Science, Regentropfen College of Applied Sciences, Bolgatanga, Ghana. In the realm of computational mathematics and scientific computing, the choice of software can profoundly ...

Luis Caffarelli has won the 2023 Abel prize, unofficially called the Nobel prize for mathematics, for his work on a class of equations that describe many real-world physical systems, from melting ice ...

In this study, we applied the variational iteration method to solve the Boussinesq time equation. Bossiness’s article from 1872 introduced the equations that are now known as the Boussinesq equations.