Heat Equation: Modeling and Numerical Methods

Related lectures (29)

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Covers numerical methods for solving boundary value problems using Crank-Nicolson and FFT.

Covers boundary conditions for heat diffusion in 1D systems.

Covers the heat equation for diffusion and conservation of thermal energy.

Explores inverse monotonicity in numerical methods for differential equations, emphasizing stability and convergence criteria.

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

Explores the numerical simulation of steady convection-diffusion problems, discretization, boundary conditions, and algebraic system assembly.

Provides an overview of advanced mechanisms analysis using Finite Element Method and Finite Element Analysis in engineering applications.

Explores the applications of the Fourier equation in heat transfer phenomena.

Introduces the finite difference method for approximating derivatives and solving differential equations in practical applications.

Explores heat transport through conduction, convection, and radiation in micro and nanosystems.