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CHE-902 Numerical Methods in Chemical Engineering
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Campus
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SCME
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Programs
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PG
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Session
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Fall Semester 2016
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Course Title
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Numerical Methods in Chemical Engineering
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Course Code
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CHE-902
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Credit Hours
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3.0
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Pre-Requisutes
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Course Objectives
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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.
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Detail Content
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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.
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Text/Ref Books
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- 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.
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Time Schedule
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Fall Semester, 2011
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Faculty/Resource Person
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Lecturer Nayyar Mehmood
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