Convection Diffusion: Equations and Finite Difference Methods

Related lectures (27)

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

Covers numerical differentiation and integration techniques using examples and quadrature formulas.

Explains finite difference grids for computing solutions of elastic membranes using Laplace's equation and numerical methods.

Focuses on Euler schemes for numerical approximation of forces and velocities.

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

Explores numerical differentiation and integration methods, emphasizing the accuracy of finite differences in computing derivatives and integrals.

Explores numerical methods for fluid dynamics and techniques for handling fluid interfaces.

Covers numerical differentiation, forward differences, Taylor's expansion, Big O notation, and error minimization.

Explores numerical methods for boundary value problems, including heat diffusion and fluid flow, using finite difference methods.

Covers the motivation and examples of boundary value problems, the finite difference method, and the approximation of local derivatives.