Parabolic Heat Equation: Modeling and Simulation

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Explores boundary conditions, basis functions, and PDE solutions using Fourier and Bessel series.

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

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

Discusses the numerical analysis of pollutant transport equations and their applications in environmental modeling.

Covers finite element methods for solving diffusion problems in porous media, including meshing, interpolation, and weighted residuals.

Covers the numerical approximation of PDEs and examples of nonlinear behavior.

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

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

Explores water transfers simulation using the Richards equation and numerical methods.

Explores the application of Fourier transform to PDEs and boundary conditions.