Basic Details:
- Course Code: EM 2030
- Credits: 3
- Pre-requisites: None
- Compulsory/Optional: Compulsory for Chemical & Process Engineering specialization
Intended Learning Outcomes:
On successful completion of the course, the students should be able to;
- Use of modern computational and mathematical techniques in chemical and process engineering.
- Acquiring the knowledge, understanding and skills required for the use of pertinent software and appropriate programming language.
- Ability to solve sets of linear and nonlinear algebraic equations, ordinary differential equations, and differential-algebraic (DAE) systems in chemical and process engineering.
- Ability to solve partial differential equations obtained from transport phenomena in chemical and process engineering.
Couse Content:
Error analysis.
Gaussian elimination, Iterative methods, Relaxation methods
Fixed point iteration, Newton-Raphson method, System of non-linear equations
Differentiation, Interpolation method, Finite difference integration, Newton-Cotes methods, Gaussian integration methods
Initial value problems: Euler method, Runge-Kutta methods. Boundary value problems: Finite difference Method. Solving system of ordinary differential equations and higher order differential equations. Adaptive step size mechanisms
Explicit and implicit finite difference methods; Basics of finite element methods
(Assignments / Projects component must be coordinated and examined by the Department of C&P Eng. since this components deal with examples from chemical and process engineering.)
Time Allocation (Hours):
Recommended Texts:
- Steven C Chapra, Raymond P Canale. Numerical Methods for Engineers, 6th edition (2010)ISBN : 0073401064