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What is Discrete Orthogonal Wavelets

Chapter 21
Handbook of Research on Generalized and Hybrid Set Structures and Applications for Soft Computing
These are family of functions with compact support which form a basis on a bounded domain.
Published in Chapter:
Interval Wavelet Method for Solving Imprecisely Defined Diffusion Equations
Sukanta Nayak (National Institute of Technology Rourkela, India) and S. Chakraverty (National Institute of Technology Rourkela, India)
Copyright: © 2016 |Pages: 16
DOI: 10.4018/978-1-4666-9798-0.ch021
Abstract
Recently, Wavelet Method (WM) is becoming a powerful tool to solve various types of differential equations. In this method orthogonal wavelet functions are used as shape functions which are easier to compute. Till date WM has been used for crisp problems that is where the variables and parameters in the differential equations are considered as crisp. But generally in real world problems, every system contains uncertainty and this makes the corresponding mathematical model as uncertain. The uncertain and imprecise parameters make the system complex. Here the uncertainty has been managed by considering the parameters as interval. Accordingly, WM method is modified and Interval Wavelet Method (IWM) has been proposed to solve ODEs.
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