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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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Numerical solution of the KdV equation by Haar wavelet method
Pramana, 2016This paper aims to get numerical solutions of one-dimensional KdV equation by Haar wavelet method in which temporal variable is expanded by Taylor series and spatial variables are expanded with Haar wavelets. The performance of the proposed method is measured by four different problems.
Ö ORUÇ, F BULUT, A ESEN
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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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Numerical solution of evolution equations by the Haar wavelet method
Applied Mathematics and Computation, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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Wavelet Galerkin method for numerical solution of nonlinear integral equation
Applied Mathematics and Computation, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Numerical modeling of electromagnetics via a wavelet-collocation method
IEEE Antennas and Propagation Society Symposium, 2004., 2004A wavelet-collocation scheme, constructed from the discrete singular convolution (DSC) is presented for computational electromagnetics. To illustrate the usefulness, test the accuracy and explore the limitations of the wavelet algorithm, four test problems are considered: waveguide analysis in both regular and irregular domains; electromagnetic wave ...
null Gang Bao, G.W. Wei, null Shan Zhao
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On the conditioning of numerical boundary measures in wavelet Galerkin methods
Communications in Numerical Methods in Engineering, 1996The numerical accuracy and stability of two wavelet methods for solving the elliptic Neumann problem are compared. The first method uses wavelets to approximate the characteristic function and the right hand sides of the basic equation and the boundary condition. The second method, in contrast, is a wavelet finite element method. Numerical examples are
Ko, Jeonghwan +3 more
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2019 International Conference on Intelligent Computing and Control Systems (ICCS), 2019
This paper presents, numerical evaluation of probability density functions gamma, exponential, weibull, normal distributions with different parameters by wavelet based integration approach of chebyshev wavelet method, we illustrate in an numerical examples that proposed method results in a much lower computation time and complexity than the existing ...
K. T. Shivaram +3 more
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This paper presents, numerical evaluation of probability density functions gamma, exponential, weibull, normal distributions with different parameters by wavelet based integration approach of chebyshev wavelet method, we illustrate in an numerical examples that proposed method results in a much lower computation time and complexity than the existing ...
K. T. Shivaram +3 more
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A numerical method for fractional pantograph differential equations based on Taylor wavelets
Transactions of the Institute of Measurement and Control, 2019We present an efficient numerical method for solving fractional pantograph differential equations by applying Taylor wavelets. We give an exact formula for the Riemann-Liouville fractional integral of the Taylor wavelets. We then apply the given formula to reduce our problem to the problem of solving a system of algebraic equations.
Panupong Vichitkunakorn +2 more
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