In this article we discuss the concept of wavelets, different forms of wavelets and their properties, graphs of different wavelets and their Fourier transforms are shown. We have also discussed the comparative advantages of wavelet transforms over Fourier transforms- in analyzing signals.
When an integral equation is solved by using the Fourier series then the solution represents a stationary signal. Usually, integral equation is solved by the successive approximation method and the resolvent kernel method in which the solution is not of Fourier series type and this solution does not represent a stationary signal. In this paper, our main goal is to determine the solution of a Fredholm integral equation of first kind by using the Fourier series.
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