Lectures related to Basis Decomposition of PDEs: 1D and Multidimensional Problems

Explores partial differential equations, focusing on chapter 6 equations and their solutions through Fourier series and variable separation methods.

Covers solving differential equations and special functions essential for physicists, emphasizing practical problem-solving skills.

Explores solving the Poisson problem using Fourier transform, discussing source terms, boundary conditions, and solution uniqueness.

Covers the Fourier transform inversion formula with examples and exercises for verification.

Covers Fourier series, periodic functions, and Fourier transforms.

Focuses on solving second order differential equations with examples and conditions, including Fourier series and Sturm-Liouville theory.

Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.