ME303OVERVIEW.MWS
Physical Domain
Thermophysical properties
Domain definition
Coordinate system
Physical Laws
Conservation Principles
Partial Differential Equations
Boundary Conditions
Initial Conditions
Differential Formulation
Integral Formulation
Analytical
Numerical
Approximate Analytical
Ordinary Differential Equations and their Solutions
Special Functions
Solution ToolsApplication of Solution to Physical System for
UnderstandingControl of System
Optimization of System
Solution Domains
Full-spaceHalf-space
Finite Region
Semi-infinite Region
Coordinate Systems
Cartesian
Polar
Spherical
Other coordinate systems
Physical Laws
Hooke's Law (Elasticity)
Newton's Law of Viscosity (Fluids)
Fick's Law (Mass Diffusion)
Fourier's Law (Heat Conduction)
Ohm's Law (Current Flow)
Newton's Law of Cooling (Convective Heat Transfer)
Other Laws of PhysicsConservation of Mass (Continuity)
Conservation of Momentum
Conservation of Energy
Other Conservation Principles
Separation of Variables
Similarity
Laplace Transform
Fourier Sine and Cosine Transforms
Hankel Transform
Other Tranforms
Types of Partial Differential Equations
Laplace Equation
Poisson Equations
Diffusion (Heat) Equation
Diffusion Equation with Source Term
Wave Equation
Wave Equation with Damping Term
Helmholtz Equation
Classification of Partial Differential Equations
Elliptic
Hyperbolic
Parabolic
Boundary Condition of First Kind. Dirichlet Condition
Boundary Condition of Second Kind. Neumann Condition
Boundary Condition of Third Kind. Robin Condition
Mixed Condition
Perfect Contact Condition
Finite Difference
Finite Element
Boundary Integral Equation
Surface Element
Other Numerical Methods
Momentum Equations
Energy Equation
Gamma function
Bessel functions of first and second kinds of integer and fractional order
Modified Bessel functions of first and second kinds of integer and fractional order
Error and complementary error functions
Elliptic integral of the first and second kinds
Legendre polynomials
Other special functions
Computer Algebra Systems
Maple
Mathematica
Macsyma
Matlab
Mathcad
Other Computer Algebra Systems
Spreadsheets
Excel
QuattroPro
Lotus 123