Applied Mathematics in Chemical Engineering

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Applied Mathematics in Chemical Engineering

Syllabus

PART I: Mathematical Modeling

Modeling procedure
1- Lumped formulation
2- Distributed formulation
3- Mixed lumped and distributed formulation

PART II: Numerical Methods

Solution of ordinary differential equations: initial-value problems
1- Single-step methods: Euler's, and Runge-Kutta methods
2- Multi-step methods: Adams, Mine’s and Adams-Moulton predictor-corrector methods

Solution of ordinary differential equations: boundary-value problems
1- Shooting methods: linear and nonlinear (Newton's)
2- Finite-difference methods: solving linear and nonlinear systems

1- Laplace and Poison equations

2- Diffusion equation(explicit, implicit, and method of lines)

3- Stability analysis of finite difference methods

Marking Scheme

Reference Books

Gerald and Wheatley, Applied Numerical Analysis, Addison Wesley, 7^th ed., 2004 (textbook).
Rice and Do, Applied Mathematics and Modeling for Chemical Engineers, John Wiley and Sons, 1995.
Shampine et al, ODE with MATLAB, Cambridge, 2003.
Kiusalaas, Numerical Methods in Engineering with MATLAB, Cambridge, 2005.

Lectures

Homework