Fourier analysis and numerical methods have long played a pivotal role in the solution of differential equations across science and engineering. By decomposing complex functions into sums of ...

In this tutorial, I walk you through solving boundary value problems using the Shooting Method in Python. Learn how to apply this numerical technique to find solutions for differential equations with ...

Calculation: A representation of a network of electromagnetic waveguides (left) being used to solve Dirichlet boundary value problems. The coloured diagrams at right represent the normalized ...