Results 181 to 190 of about 5,978 (203)

Legendre wavelets method for solving fractional integro-differential equations

International Journal of Computer Mathematics, 2014
In 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, Lifeng Wang, Hao Li, Wei Zhang   +3 more
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Numerical solution of Abel’s integral equation by using Legendre wavelets

Applied Mathematics and Computation, 2006
zbMATH 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 Processing
Activation 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, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Two-dimensional Legendre wavelets and operational matrices of integration

2005
Summary: 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.
openaire   +1 more source

Parameter identification of fractional-order time delay system based on Legendre wavelet

Mechanical Systems and Signal Processing, 2022
Chunyang Wang, Shuning Liang
exaly  

Legendre wavelet based numerical approach for solving a fractional eigenvalue problem

Chaos, Solitons and Fractals, 2022
Shivani Ranta
exaly  

A Legendre wavelet collocation method for 1D and 2D coupled time-fractional nonlinear diffusion system

Computers and Mathematics With Applications, 2022
Mo Faheem, Arshad Khan
exaly  

Wavelet collocation method based on Legendre polynomials and its application in solving the stochastic fractional integro-differential equations

Journal of Computational Science, 2021
Abhishek Kumar Singh, Mani Mehra
exaly  

Numerical implementation of nonlinear system of fractional Volterra integral–differential equations by Legendre wavelet method and error estimation

Numerical Methods for Partial Differential Equations, 2021
Shuai Zhu
exaly