Advanced Engineering Mathematics
- General property balance for mass, momentum, energy and population balance
- Continuty, momentum and energy equations
- Solving initial value differential equations, different single step methods: Euler method, modified Euler method, Runge kutta methods
- Solving ODE differential equations, using different multi-step methods
- Solving ODE boundary value problems
- Different weighted residual methods and orthogonal collocation method for solving ODE boundary value problems
- Finite difference, Interpolation, Taylor expantion
- expansion of different types of one dimentional (1D), 2D and 3D differentials
- Explicit methods for solving PDE equations and their stability
- Implicit methods for solving PDEs and the stabiliy of the methods
- An introduction to CFD methods and using control volume for solving PDEs