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Application of Digital Computers to Solve Analytically a Class of Second-Order Non-linear Ordinary Differential Equations
August 1971 (vol. 20 no. 8)
pp. 901-910
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 F?RMAC 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.
Index Terms:
Algorithms for: analytical solutions of a class of second-order nonlinear ordinary differential equations using the perturbation methods of Krylov, Bogoliubov, and Mitropolsky, differential equations (ordinary): analytical solutions of a class of second-order nonlinear differential equations, programming languages: application of F?RMAC to solve analytically a class of second-order nonlinear ordinary differential equations, programs for: solving analytically a class of second-order nonl
Citation:
R.A. Rink, W. Streifer, "Application of Digital Computers to Solve Analytically a Class of Second-Order Non-linear Ordinary Differential Equations," IEEE Transactions on Computers, vol. 20, no. 8, pp. 901-910, Aug. 1971, doi:10.1109/T-C.1971.223368
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