Introduction to Partial Differential Equations

Related lectures (28)

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Covers numerical methods for solving boundary value problems using finite difference, FFT, and finite element methods.

Covers internal heat transfer effects in heterogeneous reactions, emphasizing dimensionless numbers and transport effects.

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

Explores boundary value problems, finite difference method, and Joule heating examples in 1D.

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

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

Covers the heat equation, its physical interpretation, and numerical methods for solving it.

Explores the parabolic heat equation evolution and numerical solution methods.

Covers the fundamentals of heat transfer, including radiative properties, boundary layer theory, and Prandtl number.

Covers the fundamentals of two-phase flow and heat transfer phenomena.