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  • 标题:Application of Hybrid Functions for Solving Duffing-Harmonic Oscillator
  • 本地全文:下载
  • 作者:Mohammad Heydari ; Ghasem Brid Loghmani ; Seyed Mohammad. Hosseini
  • 期刊名称:Journal of Difference Equations
  • 印刷版ISSN:2356-7856
  • 出版年度:2014
  • 卷号:2014
  • DOI:10.1155/2014/210754
  • 出版社:Hindawi Publishing Corporation
  • 摘要:A numerical method for finding the solution of Duffing-harmonic oscillator is proposed. The approach is based on hybrid functions approximation. The properties of hybrid functions that consist of block-pulse and Chebyshev cardinal functions are discussed. The associated operational matrices of integration and product are then utilized to reduce the solution of a strongly nonlinear oscillator to the solution of a system of algebraic equations. The method is easy to implement and computationally very attractive. The results are compared with the exact solution and results from several recently published methods, and the comparisons showed proper accuracy of this method.
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