The method of lines (MOL) or differential quadrature is one of the few techniques for solving partial differential equations (PDEs), which can be used successfully using computers. In the Numerical ...

Abstract: We consider first-order linear systems of ordinary differential equations with periodic coefficients. Supposing that right-hand sides of equations are not known and subjected to some ...

The goal of this assignment was to develop a program in C that is capable of solving first-order linear systems of equations. These systems are of the form Ax=b, where A is a known matrix, b is a ...

This repo contains a Jupyter notebook based introduction to ordinary differential equations including first and second order differential equations, Laplace transforms, and systems of equations ...

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 ...