Partial Differential Equations: Equations and Solutions

Related lectures (28)

Page 1 of 3

Explores Fourier analysis, PDEs, historical context, heat equation, Laplace equation, and periodic boundary conditions.

Covers heat equations, Fourier transforms, and variable separation methods.

Covers numerical methods for solving boundary value problems, including applications with the Fast Fourier transform (FFT) and de-noising data.

Explores the application of Fourier transform to PDEs and boundary conditions.

Explores solving differential equations with periodic data using Fourier series and delves into the heat equation in R.

Covers the analysis of speed variation using differential equations and small time intervals.

Covers the study of the heat and wave equations, including the process of separating variables to find solutions.

Discusses complex analysis, focusing on Laplace transforms, Fourier series, and the heat equation's solutions and uniqueness.

Explores boundary conditions, basis functions, and PDE solutions using Fourier and Bessel series.

Covers the properties of fundamental solutions and introduces Green's representation formula for solving partial differential equations.