The first part of the paper deals with an infinite system of weakly coupled (this means that every equation contains derivatives of only one unknown function ...

Abstract: A simple mathematical model for the behaviour of how vehicles follow each other along a looped stretch of road is described. The resulting coupled first order differential equations are ...

Abstract: This paper presents a performance comparison of three parallel algorithms for the solution of sets of coupled first-order differential equations. A general format for comparison of the ...

"Differential equations are the bread and butter of physics. The purists would say that theoretical modelling (that is, arriving at the differential equations through physical reasoning) is the ...

Coupled second-order nonlinear differential equations are of fundamental importance in dynamics. In this part of our study on the integrability and linearization of nonlinear ordinary differential ...

This project explores the intersection of advanced calculus and macroeconomic theory. We model economic indicators such as inflation, GDP, and money supply growth using differential equations and ...