Title :
Application of Digital Computers to Solve Analytically a Class of Second-Order Non-linear Ordinary Differential Equations
Author :
Rink, Richard A. ; Streifer, William
Author_Institution :
IEEE
Abstract :
This note is concerned with the application of digital computers to solve analytically a class of second-order nonlinear ordinary differential equations. Programs, written in the FØRMAC language, are described, which employ the perturbation methods of Krylov, Bogoliubov, and Mitropolsky. Solutions of Duffing´s equation and van der Pol´s equation are included as examples.
Keywords :
Application software; Computer applications; Computer languages; Differential equations; Frequency; Friction; Limit-cycles; Nonlinear equations; Perturbation methods; Polynomials;
Journal_Title :
Computers, IEEE Transactions on
DOI :
10.1109/T-C.1971.223368
