A CAS wavelet method for solving nonlinear Fredholm integro-differential equations of fractional order

A CAS wavelet method for solving nonlinear Fredholm integro-differential equations of fractional order

In this paper we present a computational method for solving a class of nonlinear Fredholm integro-differential equations of fractional order which is based on CAS (Cosine And Sine) wavelets. The CAS wavelet operational matrix of fractional integration is derived and used to transform the equation to...

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Veröffentlicht in:Communications in nonlinear science & numerical simulation 2011-03, Vol.16 (3), p.1154-1163
Hauptverfasser: Saeedi, H., Moghadam, M. Mohseni, Mollahasani, N., Chuev, G.N.
Format: Artikel
Sprache:eng
Schlagworte:
26A33
65R20
65T60
Algebra
CAS wavelets
Computation
Computer simulation
Fractional calculus
Fredholm integro-differential equations
Mathematical analysis
Mathematical models
Nonlinearity
Transforms
Wavelet
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Beschreibung
Zusammenfassung:In this paper we present a computational method for solving a class of nonlinear Fredholm integro-differential equations of fractional order which is based on CAS (Cosine And Sine) wavelets. The CAS wavelet operational matrix of fractional integration is derived and used to transform the equation to a system of algebraic equations. Some examples are included to demonstrate the validity and applicability of the technique.
ISSN:1007-5704
1878-7274
DOI:10.1016/j.cnsns.2010.05.036