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WTools: a MATLAB-based toolbox for time-frequency analysis
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Wavelet-Petrov-Galerkin Method for Numerical Solution of Boussinesq Equation
Applied Mechanics and Materials, 2013In this paper, we employ the Wavelet-Petrov-Galerkin method to obtain the numerical solutions of the nonlinear Boussinesq equation. Boussinesq equation has braod application areas at different branches of engineering and science including chemistry and physics.
Mehmet Ali Akinlar, Aydin Secer
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A wavelet regularization method for solving numerical analytic continuation
International Journal of Computer Mathematics, 2014In this paper we consider the problem of analytic continuation of analytic function on a strip domain, where the data are given only on the real axis. This is an ill-posed problem. The occurrence of its ill-posedness is intrinsically due to the high-frequency perturbation of data. However, Meyer wavelet has compact support in the frequency space.
Xiaoli Feng, Wantao Ning
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Numerical solutions for orthogonal wavelet filters by Newton method
Signal Processing: Image Communication, 1999Abstract The wavelet transform has recently generated much interest in applied mathematics, signal processing and image coding. Mallat (1989) used the concept of the function space as a bridge to link the wavelet transform and multiresolution analysis.
Long-Wen Chang, Yuh-Erl Shen
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A wavelet-Galerkin method for high order numerical differentiation
Applied Mathematics and Computation, 2010The authors propose a method to approximate derivative information of high order for a function from the real numbers to the real numbers. For this purpose, they combine Meyer wavelets and a Galerkin approach. The approach allows also noisy function data stemming for example from measurements.
Dou, Fang-Fang, Fu, Chu-Li, Ma, Yun-Jie
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Haar wavelet method for the numerical solution of Klein–Gordan equations
Asian-European Journal of Mathematics, 2016Wavelets have become a powerful tool for having applications in almost all the areas of engineering and science such as numerical simulation of partial differential equations. In this paper, we present the Haar wavelet method (HWM) to solve the linear and nonlinear Klein–Gordon equations which occur in several applied physics fields such as, quantum ...
Shiralashetti, S. C. +3 more
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Haar wavelet method for solving fractional partial differential equations numerically
Applied Mathematics and Computation, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Lifeng, Ma, Yunpeng, Meng, Zhijun
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Higher order Haar wavelet method for numerical solution of integral equations
Computational and Applied Mathematics, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shumaila Yasmeen +2 more
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A wavelet method for numerical fractional derivative with noisy data
International Journal of Wavelets, Multiresolution and Information Processing, 2016Numerical fractional differentiation is a classical ill-posed problem in the sense that a small perturbation in the data can cause a large change in the fractional derivative. In this paper, we consider a wavelet regularization method for solving a reconstruction problem for numerical fractional derivative with noise.
Xiong, Xiangtuan +3 more
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