Boundary value problems (BVPs) and partial differential equations (PDEs) are critical components of modern applied mathematics, underpinning the theoretical and practical analyses of complex systems.

Iterated deferred correction methods have been very widely used for the numerical solution of general nonlinear two-point boundary value problems in ordinary differential equations. However, there may ...

Elliptic equations represent a fundamental class of partial differential equations that arise in numerous models of steady-state processes, ranging from heat conduction to elasticity. Their study ...

The method of least squares is used to construct approximate solutions to the boundary value problem $\tau f = g_0, B_i(f) = 0$ for $i = 1,\ldots, k$, on the interval ...

Reviews ordinary differential equations, including solutions by Fourier series. Physical derivation of the classical linear partial differential equations (heat, wave, and Laplace equations). Solution ...

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...