Numerical Solutions to Equations of Mathematical Physics

Published: Monday, 11 April 2016 09:31

Code – 230100   Information and computer science; section: Software of computer equipment and automation systems

Qualification (degree) – Master

Description of course modules (sections, subjects):

1. Classification of second-order partial equations.
2. Boundary-value problems and their types.
3. Numerical solutions to equations of mathematical physics.
4. Application of equations of mathematical physics and particular features of their mathematical descriptions.

Syllabus of the course:

Concept of equations of mathematical physics. Classification of equations of mathematical physics. Theoretical justification of equation forms.

Concept of boundary and initial conditions. Types of boundary conditions. Application of boundary conditions of the said equations.

Grid method for solving the Dirichlet problem for Poisson’s equation in a rectangular area and area of a free shape. Grid method for solving the thermal conductivity equation based on explicit and implicit difference schemes. Grid method for solving the wave equation based on a difference scheme.

Presentation of results of a research project on “Application of equations of mathematical physics in a subject-oriented area”.

Teaching methods:

1. laboratory work,
2. students’ independent work performed according to the teacher’s task in classrooms and on an extracurricular basis, including use of technical training aids (compulsory),
3. tutorials.

Total hours – 108.

Total credits – 3.

Laboratory work – 1/36.

Form of interim assessment – pass/fail exam.