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Duck-solutions
Aleynikov's Problem
Brusselator
The problem of two bodies
A nonlinear autonomous stationary system with a locally unstable area
The problem with a discontinuity of the second kind
The problem with several discontinuities of the second kind
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  Overview

What is Infinity?
Infinity is a program intended for solving differential and algebraic equations.
Infinity surely does not possess such an universality as, for example, Maple. But with its help you can solve problems which would be a hard nut to crack for any existing mathematical programs.


What are those problems?

Ordinary nonlinear nonautonomous differential equation systems.



The basic advantages of the method realized in I compared to the methods realized in other mathematic programs:
  • The result of the method application is not only an approximate solution, but also the area containing the unknown precise value of the desired solution;
  • The choice of a calculation step is an assumption diagram internal procedure (the step length anticipates the desired solution tendency);
  • In some cases, having carried out the transformation within the framework of the analytical part of the method, the solution is possible to be found in a closed analytical species ( Example: Duck-solutions);
  • The option of correct transition through the discontinuity of the first and the second kind is realized (Example: Aleynikov's Problem, Example: The problem with several discontinuities of the second kind)
  • Infinity is applicable for solving equation systems possessing some specific features (Example: Brusselator). In some cases for systems such as Maple, MathCad, Matematica, etc. incorrect solutions are found (Example: A nonlinear system with a locally unstable area).

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