| Course objectives: Providing a survey of different problems and methods in numerical analysis, optimization and differential equation and how can use the computer in solving problems. |
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| Course content and structure: Numerical methods of Ordinary and partial differential equation. Initial value problem, Boundary value problems, Euler method, Modified Euler method, Runge-Kutta methods (Second-order and higher-order), Adaptive Runge-Kutta Methods, System of differential equations, Finite difference method, Shooting method. |
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| Evaluation method: The student presents his report made about some formerly choosen topic and answers the questions related to the report and some other topics. |
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| Required reading: Mark E. Davis: Numerical Methods and Modeling for Chemical Engineers (1984), John Wiley and Sons, Inc. https://authors.library.caltech.edu/25061/1/NumMethChE84.pdf |
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| Suggested reading: Todd Young and Martin J. Mohlenkamp: Introduction to Numerical Methods and Matlab Programming for Engineers (2017), http://www.math.ohiou.edu/courses/math3600/book.pdf |
