Numerical solution of the controlled Duffing oscillator by semi-orthogonal spline wavelets

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Lakestanı M., Razzaghi M., Dehghan M.

Physica Scripta, cilt.74, sa.3, ss.362-366, 2006 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 74 Sayı: 3
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1088/0031-8949/74/3/010
  • Dergi Adı: Physica Scripta
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.362-366
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

This paper presents a numerical method for solving the controlled Duffing oscillator. The method can be extended to nonlinear calculus of variations and optimal control problems. The method is based upon compactly supported linear semi-orthogonal B-spline wavelets. The differential and integral expressions which arise in the system dynamics, the performance index and the boundary conditions are converted into some algebraic equations which can be solved for the unknown coefficients. Illustrative examples are included to demonstrate the validity and applicability of the technique. © 2006 The Royal Swedish Academy of Sciences.