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CHE902 Numerical Methods in Chemical Engineering

Campus

SCME

Programs

PG

Session

Fall Semester 2016

Course Title

Numerical Methods in Chemical Engineering

Course Code

CHE902

Credit Hours

3.0

PreRequisutes


Course Objectives

This course focuses on the use of modern mathematical techniques in chemical engineering. Starting from a discussion of methods for solving sets of nonlinear algebraic equations, linear algebraic equations, ordinary differential equations, and differentialalgebraic systems.

Detail Content

Numerical Solution for Nonlinear Equations: Introduction, Types of roots and their approximation, Method of successive substitution, The Wegstein method, Method of linear interpolation, Newton Raphson method, Eigenvalue method, Newton’s method for simultaneous nonlinear equations. Numerical solution of simultaneous linear algebraic equation: Introduction, Matrix and vector operations, Cramer’s rule, Gauss Elimination method, GaussJordanReduction method, GaussSeidel substitution method, Jacobi method. Finite Difference methods: Introduction, Symbolic operations, Backward Finite Difference, Central Finite Difference, Forward Finite Difference, Difference equations and their solutions. Numerical differentiation and integration: Introduction, Differentiation by backward, finite differences, Differentiation by central finite differences, Differentiation by forward finite differences, Integration formulas, NewtonCotes formulas of integration. Numerical solution of ordinary differential equations: Introduction, Classification of ordinary differential equations, Linear ordinary differential equations, Nonlinear ordinary differential equations initial value problems, Nonlinear ordinary differential equations boundary value problems. Numerical solution of partial differential equations: Introduction, Classification of partial differential equations, Initial and boundary conditions, Solution of partial differential equations using finite differences, Stability analysis, Introduction to finite element methods.

Text/Ref Books

 Advanced Engineering Mathematics, Kreyszig, E. 7th. edn., Wiley 1993.
 Basic Partial Differential Equations, D. Bleecker and G. Csordas.
 An online textbook from Georgia Tech: Linear Methodsof Applied Mathematics, Evans Harrell and James Herod (http://www.mathphysics.com/pde/).
 Applied Mathematics: A Contemporary Approach, J. D. Logan.

Time Schedule

Fall Semester, 2011

Faculty/Resource Person

Lecturer Nayyar Mehmood

