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Babolian, E.; Fattahzadeh, F.

Numerical solution of differential equations by using Chebyshev wavelet operational matrix of integration. (English) Zbl 1117.65178

Appl. Math. Comput. 188, No. 1, 417-426 (2007).
Summary: We present the operational matrix of integration of a Chebyshev wavelets basis and the product operation matrix of it. Some comparative examples are included to demonstrate the superiority of operational matrix of Chebyshev wavelets to those of Legendre wavelets.

Cited in 80 Documents

MSC:

65T60 Numerical methods for wavelets
65L05 Numerical methods for initial value problems involving ordinary differential equations

Keywords:

Chebyshev wavelets; Legendre wavelets; operational matrix of integration; product operation matrix; numerical examples
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\textit{E. Babolian} and \textit{F. Fattahzadeh}, Appl. Math. Comput. 188, No. 1, 417--426 (2007; Zbl 1117.65178)
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References:

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