A new analytical technique to find periodic solutions of non-linear systems |
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Authors: | M Shamsul Alam Md Emdadul Haque Md Bellal Hossain |
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Institution: | Department of Mathematics, Rajshahi University of Engineering and Technology, Rajshahi 6204, Kazla, Rajshahi, Bangladesh |
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Abstract: | Based on the classical harmonic balance method a new technique is presented to determine higher approximate periodic solutions of the non-linear differential equations. The new method is systematic and simple. The solution covers the general initial value problem (i.e., for while the existing solution is determined for a particular case, especially for . The solution is easily transformed to perturbation solution. The method is used in various non-linear problems possessing second and more than second derivatives. |
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Keywords: | Harmonic balance Periodic solution Asymptotic solution |
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