Haar Wavelet Operational Matrix Method for Fractional Oscillation Equations | Zendy

Umer Saeed | Zendy; Mujeeb ur Rehman | Zendy

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Haar Wavelet Operational Matrix Method for Fractional Oscillation Equations

Author(s) -

Umer Saeed,

Mujeeb ur Rehman

Publication year - 2014

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2014/174819

Subject(s) - mathematics , duffing equation , oscillation (cell signaling) , wavelet , van der pol oscillator , mathematical analysis , order (exchange) , matrix (chemical analysis) , nonlinear system , haar , haar wavelet , fractional calculus , discrete wavelet transform , wavelet transform , physics , genetics , materials science , finance , quantum mechanics , artificial intelligence , computer science , economics , composite material , biology

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

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