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Lecture
Partial Differential Equations
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Related lectures (30)
Fourier Analysis and PDEs
Explores Fourier analysis, PDEs, historical context, heat equation, Laplace equation, and periodic boundary conditions.
Boundary Conditions and Basis Decomposition
Explores boundary conditions, basis functions, and PDE solutions using Fourier and Bessel series.
Fourier Transform and Partial Differential Equations
Explores the application of Fourier transform to PDEs and boundary conditions.
Laplace Poisson Equation
Covers the Laplace and Poisson equations, the heat equation, and the wave equation in physics.
Parabolic Heat Equation: Modeling and Simulation
Explores the parabolic heat equation evolution and numerical solution methods.
Partial Differential Equations: Laplace Equation
Explains the Laplace equation in 2D with mixed boundary conditions.
Diffusion: Macroscopic View
Explores diffusion from a macroscopic perspective, emphasizing the derivation of the diffusion equation through mass conservation and fixed flux law.
Two Phase Flow and Heat Transfer
Covers the fundamentals of two-phase flow and heat transfer phenomena.
Numerical Methods for Boundary Value Problems
Covers numerical methods for solving boundary value problems using finite difference, FFT, and finite element methods.
Distribution & Interpolation Spaces
Explores distribution and interpolation spaces, differential operators, Fourier transform, Schwartz space, fundamental solutions, Farrier transform, and uniform continuity.
Linear Partial Differential Equations
Explores linear partial differential equations, elliptic PDEs, Laplace equation, boundary conditions, and classical solutions.
Evolution of Partial Differential Equations
Explores the evolution of PDEs, focusing on heat and wave equations in 1D, uniqueness of solutions, and the d'Alembert formula.
Introduction to Partial Differential Equations
Covers the basics of Partial Differential Equations, focusing on heat transfer modeling and numerical solution methods.
Heat Transfer Applications
Explores the applications of the Fourier equation in heat transfer phenomena.
Heat Equation in 1D: Chapter 12
Explores the heat equation in 1D, emphasizing conservation of thermal energy and numerical solution methods.
Vibratory Mechanics: Continuous Systems
Explores vibratory mechanics in continuous systems, covering separation of variables, boundary conditions, and harmonic solutions.
Heat Equation: Core and Solutions
Explores the heat equation core, solutions, and diffusion behavior over time.
Partial Differential Equations: Basics
Covers the basics of Partial Differential Equations, including well-posedness, operators, and classification of physical PDEs.
Fourier Series and PDE Solving
Covers the solving of PDEs using Fourier series and boundary conditions of Neumann and Dirichlet type.
Introduction to PDES
Covers harmonic functions, Laplacian operator, Dirichlet and Robin problems, and sub-harmonic functions in Partial Differential Equations.
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