Wavelet Transform and Wavelet Based Numerical Methods: an Introduction
نویسندگان
چکیده
Abstract: Wavelet transformation is a new development in the area of applied mathematics. Wavelets are mathematical tools that cut data or functions or operators into different frequency components, and then study each component with a resolution matching to its scale. In this article, we have made a brief discussion on historical development of wavelets, basic definitions, formulations of wavelets and different numerical methods based on Haar and Daubechies wavelets for the numerical solution of differential equations, integral and integro-differential equations.
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