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- W19567780 abstract "Abstract— In this paper, we bring three theoremsthat enable us to approximate the solution of Ferd-holm integral equations of the second kind. Then weuse the Coifman wavelets or Coiflets as scaling func-tions for projection that satisfied the conditions oftheorems for approximation. Also we use this pro-jection to convert the integral equation to a Galerkinsystem, which is the most important of the expansionmethods for solving linear integral equations. Finally,by using numerical examples we show that our esti-mation have a good degree of accuracyKeywords: Integral Equation, Wavelet, Galerkin Sys-tem. 1 Introduction This section provide an overview of the topics that weneed in this paper. A wave is usually defined as an os-cillating function of time or space, such as a sinusoid.Fourier analysis is wave analysis, it expands a signal orfunction in term of sinusoid. A wavelet is a ”smallwave”, which has its energy concentrated in time to give atool for the analysis of transient, nonstationary, or time-varying phenomena([1, 2]).We will take wavelets and use them in series expansion ofsignals or functions as the same way a Fourier series usesthe wave or sinusiod to represent a signal or function,([3, 4])." @default.
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- W19567780 date "2007-01-01" @default.
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- W19567780 title "Using Wavelet for Numerical Solution of Fredholm Integral Equations" @default.
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