Evolution of Partial Differential Equations

Related lectures (28)

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

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

Explores convolution properties, heat equation application, and Fourier transform on tempered distributions.

Explores the application of randomness in physical models, focusing on Brownian motion and diffusion.

Explores diffusion from a macroscopic perspective, emphasizing the derivation of the diffusion equation through mass conservation and fixed flux law.

Covers the numerical approximation of PDEs and examples of nonlinear behavior.

Covers the numerical approximation of PDEs, including Poisson and heat equations, transport phenomena, and incompressible limits.

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

Explores the parabolic heat equation evolution and numerical solution methods.

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