PET 519E  Advanced Engineering Mathematics
Course Objectives
The main objective of this course is to acquaint the PNGE graduate
students with advanced level engineering mathematics so that they
can formulate, apply, and solve the physical problems of interest by
use of both advanced level analytical and numerical methods of
engineering (or applied)
mathematics.
Course Description
Mathematical preliminaries (vector/matrix calculus, ordinary and partial differential equations); Mathematical modeling of problems interest to petroleum and natural gas engineering and basic modeling equations (continuity, diffusion, convection and dispersion equations for both single and multi phase flow); Separation of variables for solving 1D, 2D and 3D partial differential equations (PDE's), Fourier and Laplace transformation methods for solving 1D, 2D and 3D PDE's; An introduction to numerical methods (finite differences) for solving 1D, 2D and 3D flow problems; Linear and nonlinear parameter estimation (least squares and least absolute value).


Course Coordinator
İhsan Murat Gök
İhsan Murat Gök
Course Language
English


