论文信息 - Numerical solution of differential equations by using Chebyshev wavelet operational matrix of integration

Numerical solution of differential equations by using Chebyshev wavelet operational matrix of integration

In this paper we present operational matrix of integration (OMI) of Chebyshev wavelets basis and the product operation matrix (POM) of it. Some comparative examples are included to demonstrate the superiority of operational matrix of Chebyshev wavelets to those of Legendre wavelets.

Esmail Babolian | F. Fattahzadeh | E. Babolian | F. Fattahzadeh

[1] J. Chou,et al. Shifted Chebyshev direct method for solving variational problems , 1985 .

[2] C. Hwang,et al. Laguerre series direct method for variational problems , 1983 .

[3] Maw-Ling Wang,et al. Shifted Legendre direct method for variational problems , 1983 .

[4] Mohsen Razzaghi,et al. Legendre wavelets direct method for variational problems , 2000 .

[5] Ingrid Daubechies,et al. Ten Lectures on Wavelets , 1992 .

[6] C. F. Chen,et al. Haar wavelet method for solving lumped and distributed-parameter systems , 1997 .

[7] Mohsen Razzaghi,et al. Fourier series direct method for variational problems , 1988 .

[8] Khosrow Maleknejad,et al. Numerical solution of linear Fredholm and volterra integral equation of the second kind by using Legendre wavelets , 2003 .

[9] Mohsen Razzaghi,et al. THE LEGENDRE WAVELETS OPERATIONAL MATRIX OF INTEGRATION , 2001 .

[10] L. Fox,et al. Chebyshev polynomials in numerical analysis , 1970 .