Basic Information
Asymptotic Methods# Regular Perturbations. Singular Perturbation Techniques# Strained Parameters, Inner,outer and Composite Expansions, Multiple Scales. Numerical Methods# Techniques For Solving Sets Of Algebraic Equations. Finite Element Analysis of Linear and Non-linear Elliptic and Parabolic Partial Differential Equations. Applications Chemical Engineering Problems. Learning Outcomes# Upon Completion of The Course Students Will Know How To# 1. Solve Systems of Linear Algebraic Equations Using Direct And Iterative Methods. 2. Solve Systems of Nonlinear Algebraic Equations Using The Newton Raphson Technique. 3. Apply The Gauss Legendre Methiod For Numerical Integration. 4. Approach The Solution of Liner And Nonlinear, Elliptic and Parabolic Partial Differential Equations Using The Galerkin Frinite Element Method. . 5. Constuct Regular (straightforward) Asymptotic Expansions of The Solution of Nonlinear Algebraic and Differential Equations. 6. Identify The Source Of Nonuniformity in The Asymptotic Expansions. 7. Solve Nonliner Differential Equations Using The Method of Strained Coordinates. 8. Solve Nonlinear Differential Equations Using The Method Of Multiple Scales.
Faculty: Chemical Engineering
|Undergraduate Studies
|Graduate Studies
Pre-required courses
(54374 - Process Analysis Using Numerical Methods and 104228 - Partial Differential Equations/m)
Course with no extra credit
58178