Results 11 to 20 of about 5,978 (203)
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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Results in Physics, 2021 In this article, a new and efficient operational matrix method based on the amalgamation of Fibonacci wavelets and block pulse functions is proposed for the solutions of time-fractional telegraph equations with Dirichlet boundary conditions.
Firdous A. Shah +4 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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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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Complex data processing: fast wavelet analysis on the sphere [PDF]
, 2006 In the general context of complex data processing, this paper reviews a recent practical approach to the continuous wavelet formalism on the sphere. This formalism notably yields a correspondence principle which relates wavelets on the plane and on the ...
McEwen, J. D., Vielva, P., Wiaux, Y.
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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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Analytic Regularity and GPC Approximation for Control Problems Constrained by Linear Parametric Elliptic and Parabolic PDEs [PDF]
, 2013 This paper deals with linear-quadratic optimal control problems constrained by a parametric or stochastic elliptic or parabolic PDE. We address the (difficult) case that the state equation depends on a countable number of parameters i.e., on $\sigma_j ...
Kunoth, Angela, Schwab, Christoph
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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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