Numerical Solution of Partial Differential Equations

Course Information
TitleΑΡΙΘΜΗΤΙΚΕΣ ΜΕΘΟΔΟΙ ΕΠΙΛΥΣΗΣ ΦΥΣΙΚΩΝ ΠΡΟΒΛΗΜΑΤΩΝ / Numerical Solution of Partial Differential Equations
CodeΜΥΝ718
FacultyAgriculture, Forestry and Natural Environment
SchoolAgriculture
Cycle / Level2nd / Postgraduate
Teaching PeriodSpring
CommonYes
StatusActive
Course ID420000888
Class Information
Academic Year2018 – 2019
Class PeriodSpring
Faculty Instructors
Weekly Hours4
Class ID
600121122
Course Type 2016-2020
  • Background
Course Type 2011-2015
General Foundation
Mode of Delivery
  • Face to face
Digital Course Content
Language of Instruction
  • Greek (Instruction, Examination)
Prerequisites
Required Courses
  • 026Ε AGRICULTURAL HYDRAULICS
  • 401Υ APPLIED MATHEMATICS I
  • 415Υ NUMERICAL ANALYSIS AND COMPUTERS
Learning Outcomes
To understood the differential equation and the relationship with the physical problems To solve differential equation using numerical methods To evaluate the results of mathematical models To design and make mathematical models To suggesting the neccessary measurements of natural problems
General Competences
  • Retrieve, analyse and synthesise data and information, with the use of necessary technologies
  • Adapt to new situations
  • Work autonomously
  • Work in teams
  • Work in an international context
  • Work in an interdisciplinary team
Course Content (Syllabus)
Overview of Numerical Analysis. Numerical methods for the solution of systems of algebraic equations. Tridiagonal and broadband matrices. Method of Cholesky (Thomas), Jacob, Gauss, Gauss-Seidel. Relaxation methods. Classification of partial differential equations. Finite differences. Finite difference methods for the solution of equation of parabolic, hyperbolic and elliptic type. The method of characteristics for the solution of hyperbolic equations. The method of finite elements. One and two-dimensional elements. Isoparametric elements. Interpolation functions of first and second degree. The Galerkin and Petrov-Galerkin finite element techniques. Finite element methods for the solution of equations of parabolic, hyperbolic and elliptic type.
Keywords
matrices, finite difference method, finite element method, differential equation
Educational Material Types
  • Notes
  • Book
Use of Information and Communication Technologies
Use of ICT
  • Use of ICT in Course Teaching
  • Use of ICT in Communication with Students
Course Organization
ActivitiesWorkloadECTSIndividualTeamworkErasmus
Lectures✓
Tutorial✓
Written assigments✓
Exams✓
Total
Student Assessment
Student Assessment methods
  • Written Exam with Short Answer Questions (Summative)
  • Written Exam with Extended Answer Questions (Summative)
  • Written Assignment (Summative)
Last Update
13-11-2015