Results 221 to 230 of about 2,608 (269)
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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 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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Wavelet Method in Numerical Modeling of Quantum Dots Embedded in Matrix
Advanced Materials Research, 2013An analytical method of the solution of the governing nonlinear eigenproblem is proposed. It can be directly applied into the analysis of eigenstates in quantum mechanics. The method is based on the use of the separation of variables for specific shapes of quantum dots.
Aleksander Muc, Banaś, Aleksander
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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 methods in numerical analysis
2000Publisher Summary This chapter explains basic examples of wavelet methods in numerical analysis. It introduces the approximations and shows show the way they are related to decompositions in two elementary wavelet bases: the Haar system and the hierarchical Schauder basis. The chapter describes the decomposition and reconstruction algorithms that can
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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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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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Other Wavelet-Based Numerical Methods
2018Systematically, wavelet-based methods for solving PDEs can be separated into the following categories in a very broad manner. Methods based on wavelet expansions: Methods discussed in Sects. 7.4 and 8.2 fall in this category. Wavelet compression can be applied either to the solution [1] (i.e., to generate the adaptive grid as discussed in Sect. 9.1.1),
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