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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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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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A learnable activation function based on orthogonal Legendre wavelets
International Journal of Wavelets, Multiresolution and Information ProcessingActivation functions play a crucial role in introducing nonlinearity into neural networks. Previous approaches, such as rectifying neurons and logistic sigmoid neurons, primarily focused on constructing activation functions based on biological models. These methods have achieved considerable success in various machine learning tasks. However, they are
Yan Ye, Zhi Liu
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Legendre wavelets method for solving differential equations of Lane–Emden type
Applied Mathematics and Computation, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Two-dimensional Legendre wavelets and operational matrices of integration
2005Summary: One-dimensional Legendre wavelets are the basis of a numerical method for solving one-dimensional variational problems and integral equations. In this paper we introduce two-dimensional Legendre wavelets. These wavelets are defined over the interval \([0,1]\times[0,1]\) and an orthonormal set over this interval.
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