Results 11 to 20 of about 5,981 (227)
Numerical solution of sixth-order boundary-value problems using Legendre wavelet collocation method
Results in Physics, 2018 An efficient method is proposed to approximate sixth order boundary value problems. The proposed method is based on Legendre wavelet in which Legendre polynomial is used.
Muhammad Sohaib +3 more
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WAVELET SOLUTIONS OF THE KLEIN-GORDON EQUATION [PDF]
Journal of Mahani Mathematical Research, 2012 In this paper, The numerical solutions of the Klein-Gordon equations using Legendre wavelets are investigated. The interest is in solving the problem using the wavelet basis due to its simplicity and efficiency in numerical approximations.
Esmail Hesameddini, S. Shekarpaz
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Sparse polynomial approximation of parametric elliptic PDEs. Part I: affine coefficients [PDF]
, 2016 We consider elliptic partial differential equations with diffusion coefficients that depend affinely on countably many parameters. We study the summability properties of polynomial expansions of the function mapping parameter values to solutions of the ...
Bachmayr, Markus +2 more
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Mathematics, 2023 Wavelet neural networks have been widely applied to dynamical system identification fields. The most difficult issue lies in selecting the optimal control parameters (the wavelet base type and corresponding resolution level) of the network structure ...
Xiaoyang Zheng +3 more
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Scale-discretised ridgelet transform on the sphere [PDF]
, 2019 We revisit the spherical Radon transform, also called the Funk-Radon transform, viewing it as an axisymmetric convolution on the sphere. Viewing the spherical Radon transform in this manner leads to a straightforward derivation of its spherical harmonic ...
candes +12 more
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Karpatsʹkì Matematičnì Publìkacìï, 2020 In this paper, block pulse functions and hybrid Legendre polynomials are introduced. The estimators of a function $f$ having first and second derivative belonging to $Lip_\alpha[a,b]$ class, $0 < \alpha \leq 1$, and $a$, $b$ are finite real numbers, by ...
S. Lal, V.K. Sharma
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Legendre approximation solution for a class of higher-order Volterra integro-differential equations
Ain Shams Engineering Journal, 2012 The aim of this work is to study the Legendre wavelets for the solution of boundary value problems for a class of higher order Volterra integro-differential equations using function approximation.
S.G. Venkatesh +2 more
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Mathematics, 2018 This paper introduces a new numerical approach to solving a system of fractional differential equations (FDEs) using the Legendre wavelet operational matrix method (LWOMM).
Aydin Secer, Selvi Altun
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Legendre Multiwavelet Transform and Its Application in Bearing Fault Detection
Applied Sciences, 2023 Bearing failures often result from compound faults, where the characteristics of these compound faults span across multiple domains. To tackle the challenge of extracting features from compound faults, this paper proposes a novel fault detection method ...
Xiaoyang Zheng +3 more
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Mehran University Research Journal of Engineering and Technology, 2023 The goal of the work is to solve the nonlinear convection-diffusion-reaction problem using the variational iteration method with the combination of the Chebyshev wavelet.
Muhammad Memon +2 more
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