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International Journal of Mathematics and Mathematical Sciences
Article . 2014 . Peer-reviewed
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Haar Wavelet Operational Matrix Method for Fractional Oscillation Equations

Haar wavelet operational matrix method for fractional oscillation equations
Authors: Umer Saeed; Mujeeb ur Rehman;

Haar Wavelet Operational Matrix Method for Fractional Oscillation Equations

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.

Keywords

fractional Duffing equation, Numerical methods for wavelets, operational matrix, QA1-939, Nonlinear oscillations and coupled oscillators for ordinary differential equations, Fractional ordinary differential equations, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
8
Top 10%
Average
Average
gold
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