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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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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.
Xiangtuan Xiong +3 more
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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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Numerical study of Fisher's equation by wavelet Galerkin method
International Journal of Computer Mathematics, 2006Fisher's equation, which describes the logistic growth–diffusion process and occurs in many biological and chemical processes, has been studied numerically by the wavelet Galerkin method. Wavelets are functions which can provide local finer details. The solution of Fisher's equation has a compact support property and therefore Daubechies' compactly ...
R. C. Mittal, Sumit Kumar
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Numerical solution of Drinfel'd-Sokolov system with the Haar wavelets method
2022Summary: In this article, we use the Haar wavelets (HWs) method to numerically solve the nonlinear Drinfel'd-Sokolov (DS) system. For this purpose, we use an approximation of functions with the help of HWs, and we approximate spatial derivatives using this method.
Heydary, Sahba, Aminataei, Azim
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Wavelets and Splines in Numerical Methods and Compression.
1995Abstract : There were three major research explorations. (1) Wavelets: Necessary and sufficient conditions on the wavelet, scaling function and projection kernel for given rates of convergence of wavelet expansions in the supremum and L (P) (Rd) norms have been given.
Louise A. Raphael, Daniel A. Williams
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Numerical analysis of fractional differential equation by TSI-wavelet method
2020Summary: In this paper, we propose a new numerical algorithm for the approximate solution of non-homogeneous fractional differential equation. Using this algorithm the fractional differential equations are transformed into a system of algebraic linear equations by operational matrices of block-pulse and hybrid functions.
Shariffar, Farhad +2 more
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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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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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Numerical Study of Partial Differential Equations by an Adaptive Diffusion Wavelet Method
International Journal of Applied and Computational Mathematics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sinha, Arvind Kumar, Sahoo, Radhakrushna
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