Second Kind Chebyshev Wavelet Analysis of Abel’s Integral Equations

Harish Chandra Yadav, Abhilasha Yadav, Susheel Kumar

Abstract


This paper presents two approximations of the solution functions of Abel’s integral equations belong ing to classes Hα[0,1), Hϕ[0,1) by (λk+1 −1,M)th partial sums of their second kind Chebyshev wavelet expansion in the interval [0,1), for λ > 1. These approximations are E(1) λk+1−1,M (f), E(2) λk+1−1,M (f). Chebyshev wavelets of the second kind were used to solve Abel’s integral equations. The Chebyshev wavelet of the second kind leads to a solution that is almost identical to their exact solution. This research paper’s accomplishment in wavelet analysis is noteworthy.

Keywords


Hα[0, 1),Hϕ [0, 1) class, Chebyshev wavelet of the second kind, Abel's integral equations

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DOI: http://dx.doi.org/10.23755/rm.v51i0.1044

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