Abstract
We report a modification of the Stiefel-Bettis method which is of trigonometric order one and of polynomial order two for the general second order initial value problems. We also discuss the modified Stiefel-Bettis method made explicit for the undamped nonlinear oscillators. Numerical solution of problems are given to illustrate the methods.
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Jain, M.K. A modification of the stiefel-bettis method for nonlinearly damped oscillators. BIT 28, 302–307 (1988). https://doi.org/10.1007/BF01934093
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DOI: https://doi.org/10.1007/BF01934093