Methods of developing mathematical models and computing experiment based on the Matlab package

The course contains 15 lectures plus a software application. The topics of lectures are divided into two parts. In the first part (lectures No. 1 - No. 9), numerical methods of solving basic equations of mathematical physics in private derivatives are set out. The numerical methods are discussed, the development of which is carried out in the Matlab environment in the form of a set of computational experiments, each of which is available on a personal computer with a pre -installed Matlab package. The first part of the course ends with the control work containing 90 tasks. In the second part of the course (lectures No. 10 - No. 15), original mathematical models are understood: spatial migrations of planktonic organisms, morphogenesis, electromagnetic manuals, thermo -gumenometric dynamics of the final crystal sample, turbulence, ideal fluid (discrete stochastic -detailed approach) The analysis of mathematical models includes: setting the task, preparing equations for a computational experiment, the computing experiment in the Matlab environment, as well as conclusions. At the end of the book is a list of 30 topics for independent work of students.
A course of lectures can be useful to senior students of universities of natural science orientation, as well as graduate students, seeking to acquire mathematical modeling skills with the entire escort complex