Method of “computer analogy” for solving the systems of nonlinear differential equations
Aristov V.V., Stroganov A.V.
"Математика. Компьютер. Образование". Cб. трудов XVII международной конференции. Под общей редакцией Г.Ю. Ризниченко Ижевск: Научно-издательский центр "Регулярная и хаотическая динамика", 2010 (in press). (accepted)
The new approach for solving the differential equations is being developed. The principles of the method are shown on the example of solving of the non-autonomous nonlinear equation which has no quadratures. Also the application for solving the systems of nonlinear equations is discussed. We build the solution of the nonlinear kinetic system with two variables. Also we construct the solution to solve the van der Pol equations which can be decomposed into a pair of two equations.
|
