Learn how to solve differential equations using Euler and Runge-Kutta 4 methods! This tutorial compares both techniques, explaining accuracy, step size, and practical applications for physics and ...

Tessellations aren’t just eye-catching patterns—they can be used to crack complex mathematical problems. By repeatedly reflecting shapes to tile a surface, researchers uncovered a method that links ...

In this research, the Differential Transformation Method (DTM) has been utilized to solve the hyperbolic Telegraph equation. This method can be used to obtain the exact solutions of this equation. In ...

Nonlinear problems, originating from applied science that is closely related to practices, contain rich and extensive content. It makes the corresponding nonlinear models also complex and diverse. Due ...

Open-source, 1D quantum computing elastic wave equation solver. Figure 1: Calculated wave field of classical numerical solvers and the quantum computer IBM Brisbane for different evolution times in a ...

There are lockers and knockers, limited slips and Sure Grips. Sometimes they're called Positractions and sometimes much worse. But this name game is really about the concept of pushing equal measures ...

Abstract: Contribution: This article identifies possible ruptures between the ways fundamental notions of exact differential and exact differential equations (EDEs) are employed in mathematics courses ...

Nathan Pennington discussed the problems with the way differential equations are presented in courses. Associate Professor in the Department of Mathematics at Creighton University Nathan Pennington ...