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An Approximation Method for Solving Burgers’ Equation Using Legendre Wavelets
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Venkatesh, S. G. +2 more
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Shifted Chebyshev Wavelets and Shifted Legendre Wavelets—Preliminaries
2019Wavelet analysis, as a relatively new and emerging area in applied mathematical research, has received considerable attention in dealing with partial differential equations and fractional partial differential equations (FPDEs).
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New 2D numerical integration formula based on the Legendre wavelets
Journal of Interdisciplinary Mathematics, 2023Based on Legendre wavelets, a new efficient numerical integration method is proposed to estimate double integrals. This new method is expressed in terms of the operational integration matrices. Those which were introduced by Parsian, are calculated in an approximate way. In this work, we also propose the exact computation of these matrices.
Leila Bouzid +2 more
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Technique for solving differential equation by extended Legendre wavelets
2008 International Conference on Wavelet Analysis and Pattern Recognition, 2008Based on analyzing the properties of Legendre wavelets, the extended Legendre wavelets, defined on interval (-r, r), is achieved and its properties are considered. According to the translation property of Legendre wavelets, another method for computing operational matrix of integration P is presented through integrating on subintervals.
null Xiao-Yang Zheng +2 more
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Discontinuous Legendre wavelet Galerkin method for reaction–diffusion equation
International Journal of Computer Mathematics, 2016ABSTRACTThis paper proposes a novel numerical method, that is, discontinuous Legendre wavelet Galerkin technique for solving reaction–diffusion equation (RDE). Specifically, variational formulation and corresponding numerical fluxes of this type equation are devised by utilizing the advantages of both Legendre wavelet bases and discontinuous Galerkin ...
Xiaoyang Zheng, Zhengyuan Wei
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The Legendre wavelet method for solving fractional differential equations
Communications in Nonlinear Science and Numerical Simulation, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ur Rehman, Mujeeb, Ali Khan, Rahmat
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Online adaptive Legendre wavelet embedded neurofuzzy damping control algorithm
INMIC, 2013Power system stability can significantly be enhanced by installing a Static Synchronous Series Compensator (SSSC) using appropriate damping control scheme. In this work, a new Online Adaptive Legendre Wavelet (OALeW) based NeuroFuzzy control of SSSC is proposed. The proposed control strategy tunes the rule base using the current estimate of plant model,
Rabiah Badar, Laiq Khan
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2D legendre wavelet filter for iris recognition feature extraction
Proceedings of the 3rd International Conference on Cryptography, Security and Privacy, 2019In iris recognition system, the feature extraction is the most important stages where the iris unique feature is extracted. Several methods of achieving this have been proposed in order to extract the distinct features that are unique to each individual.
Danlami Muktar +3 more
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Legendre wavelets method for solving fractional integro-differential equations
International Journal of Computer Mathematics, 2014In this paper, based on the constructed Legendre wavelets operational matrix of integration of fractional order, a numerical method for solving linear and nonlinear fractional integro-differential equations is proposed. By using the operational matrix, the linear and nonlinear fractional integro-differential equations are reduced to a system of ...
Zhijun Meng +3 more
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Numerical solution of Abel’s integral equation by using Legendre wavelets
Applied Mathematics and Computation, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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