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Haar Wavelet Operational Matrix Method for Fractional Oscillation Equations

Author

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  • Umer Saeed
  • Mujeeb ur Rehman

Abstract

We utilized the Haar wavelet operational matrix method for fractional order nonlinear oscillation equations and find the solutions of fractional order force-free and forced Duffing-Van der Pol oscillator and higher order fractional Duffing equation on large intervals. The results are compared with the results obtained by the other technique and with exact solution.

Suggested Citation

  • Umer Saeed & Mujeeb ur Rehman, 2014. "Haar Wavelet Operational Matrix Method for Fractional Oscillation Equations," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2014, pages 1-8, July.
    • Handle: RePEc:hin:jijmms:174819
    DOI: 10.1155/2014/174819
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    Cited by:

    1. Ruyi Xing & Meng Liu & Kexin Meng & Shuli Mei, 2021. "Coupling Technique of Haar Wavelet Transform and Variational Iteration Method for a Nonlinear Option Pricing Model," Mathematics, MDPI, vol. 9(14), pages 1-15, July.

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