Second Kind Chebyshev Wavelet Analysis of Abel’s Integral Equations
DOI:
https://doi.org/10.23755/rm.v51i0.1044Keywords:
Hα[0, 1), Hϕ [0, 1) class, Chebyshev wavelet of the second kind, Abel's integral equationsAbstract
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.References
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