Heat Equation: Modeling and Numerical Methods

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Explores material and energy balances in chemical engineering for process optimization and design.

Covers the application of separation of variables method to solve the heat equation.

Explores the basics of heat conduction in solids, covering Fourier's law, thermal conductivity, energy conservation, and practical applications.

Explores numerical methods in biomechanics for hip implants and emphasizes understanding conditions for improved designs and patient outcomes.

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

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

Explores thermal bridge analysis, material properties, and boundary conditions for building insulation.

Explores the parabolic heat equation evolution and numerical solution methods.

Covers modeling and numerical schemes for diffusion-convection problems.