National University of Sciences and Technology
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CHE-902 Numerical Methods in Chemical Engineering
Campus SCME
Programs PG
Session Fall Semester 2016
Course Title Numerical Methods in Chemical Engineering
Course Code CHE-902
Credit Hours 3.0
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 differential-algebraic 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 non-linear equations. Numerical solution of simultaneous linear algebraic equation: Introduction, Matrix and vector operations, Cramer’s rule, Gauss Elimination method, Gauss-JordanReduction method, Gauss-Seidel 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, Newton-Cotes 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 (
  • Applied Mathematics: A Contemporary Approach, J. D. Logan.
Time Schedule Fall Semester, 2011
Faculty/Resource Person Lecturer Nayyar Mehmood