Fourier Transform and Partial Differential Equations

Related lectures (30)

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Explores the heat equation in 1D, emphasizing conservation of thermal energy and numerical solution methods.

Explores the motivation behind Fourier series and transforms, their fundamentals, and applications in solving differential equations.

Covers the basics of Partial Differential Equations, focusing on heat transfer modeling and numerical solution methods.

Explores the applications of the Fourier equation in heat transfer phenomena, covering conduction, convection, and radiation.

Explores the Fourier Trick for time-dependent diffusion problems in a Cartesian system.

Covers the solution of Maxwell equations using advanced and retarded Green functions, focusing on electrostatics with general boundary conditions.

Explores normal mode expansion, Laplace equation solution, and dispersion relation analysis in Rayleigh Taylor instability.

Explores the heat equation core, solutions, and diffusion behavior over time.

Covers boundary conditions for heat diffusion in 1D systems.

Covers the basics of Partial Differential Equations, including well-posedness, operators, and classification of physical PDEs.