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Course Information

Course Information

Course Title	Code	Semester	L+U Hour	Credits	ECTS
NUMERICAL MODELING	JFM343		0 + 0	0	0

Prerequisites

None

Language of Instruction
Course Level	Graduate Degree
Course Type	Compulsory
Mode of delivery
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Instructors
Assistants
Goals	Students learn numerical methods that used in most of the engineering problems. They learn truncation and interpolation errors, curve fitting, interpolation and extrapolation, numerical integration, numerical solution of PDE (elliptic, parabolic and hyperbolic type) equations by using finite difference and finite element techniques. They are also learning to develop computer algorithm to solve numerical problems.
Course Content	Introducing the concept of geophysical modelling. Introduction of truncation and rounding errors and Taylor Series. Interpolation, numerical integral methods. Numerical solution methods used for solution of differential equations; general presentation of numerical integration, finite differences, finite element methods. Finite difference method: forward, backward and central difference operators, numerical solution of 1-D, 2-D and 3-D problems with finite differences. Obtaining the system matrix. Finite Element Method; basic element types used, shape functions, node point, finite element mesh concepts, introduction of variational and weighted residual approaches, system matrix. Differences between finite element and finite difference methods. Solution methods of system matrix, linear and iterative methods, computer applications. Finite elements and finite difference numerical solution methods to solve geophysical problems and computer applications.
Learning Outcomes	1) Solve partial differantial equations using numerical differentiation and integral 2) Develop algorithm to show numerical solution results 3) Develop algorithms to interpolation and numerical differantiation 4) Develop algorithms to numerical solution of geophysical modelling equations