*2.5. Maple*

Maple, a computer algebra software, is general purpose software for symbolism, numeric, graphics and simulation. The symbolic approach implies the exact treatment of numbers, symbols, expressions and formulas. The numerical approach involves approximating decimal numbers (the number of digits can be large).

Maple's library contains over three thousand functions: calculation of derivatives, solving algebraic and differential equations, operations with matrices, factorization of polynomials, data processing, creation of FORTRAN or C-code, Fourier transform. Maple's document combines text, commands for calculation, results and graphics, and can be translated into LATEX code. An integral part of Maple is a high-level programming language that allows the users to work with their own procedures. They also have packages of special functions for linear algebra, statistics, geometry and combinatorics.

Maple is used to perform a computer experiment (simulation) when performing an imaginary experiment. Computer simulation is complementary to theory and experiment. The model of a system is complex and no analytical solution can be found, so the numerical method and simulation are used. The computer experiment is based on equations. In the dynamic model, there is a connection between applied mathematics, computer science and applied science. One way to explain the motion of ferrofluids in a gravitational field without the presence of an external magnetic field is:


The motion of a ferrofluid in the gravitational field is observed, with the modeling concept based on the previously elaborated theoretical model. Its chaotic and deterministic behavior in the system is studied.
