Ninety years of Duffing’s equation
Copyright policy )Ninety years of Duffing’s equation
In the paper the origin of the so named ?Duffing?s equation? is shown. The author?s generalization of the equation, her published papers dealing with Duffing?s equation and some of the solution methods are presented. Three characteristic approximate solution procedures based on the exact solution of the strong cubic Duffing?s equation are shown. Using the Jacobi elliptic functions the elliptic-Krylov-Bogolubov (EKB), the homotopy perturbation and the elliptic-Galerkin (EG) methods are described. The methods are compared. The advantages and the disadvantages of the methods are discussed.
Duffing’s equation, elliptic-Krylov-Bogolubov method, elliptic-Galerkin method, Mechanics of engineering. Applied mechanics, TA349-359, homotopyper turbation method
Duffing’s equation, elliptic-Krylov-Bogolubov method, elliptic-Galerkin method, Mechanics of engineering. Applied mechanics, TA349-359, homotopyper turbation method
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