University of Tennessee Department of Materials Science & Engineering

MSE 510 Course Website Mathematical and Numerical Problem Solving Skills for Materials Scientists and Engineers Department of Materials Science & Engineering University of Tennessee at Knoxville

Partial Differential Equations analytical solution techniques introduction to numerical solution techniques - linear parabolic extension to neumann & mixed boundary conditions nonlinear parabolic PDEs systems of non-linear parabolic PDEs hyperbolic PDEs elliptic PDEs 2-D parabolic PDEs PDE code notes

Derivations of Energy and Material Balances: Parabolic PDEs Energy Balances for Heat Transfer in a Rod Material and Energy Balances for Plug-Flow Reactors