Results 11 to 20 of about 5,531 (199)
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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Legendre Wavelets Method for Solving Boundary Value Problems
Journal of the College of Basic Education, 2023 يتم تقديم طريقتين لحل مشكلة قيمة حد الرتبة n باستخدام موجات Legendre المستمرة على الفاصل الزمني [0 ، 1]. تحل الخوارزمية الأولى مشكلة القيمة الحدودية BVP تستخدم مباشرة المصفوفة التشغيلية لمشتق موجات Legendre بينما تقوم الخوارزمية الثانية بتحويل BVP إلى نظام معادلات Volterra المتكاملة ثم باستخدام المصفوفة التشغيلية للتكامل لموجات Legendre ، نظام ...
null Dr. Suha N. Shihab +1 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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Legendre wavelet method combined with the Gauss quadrature rule for numerical solution of fractional integro-differential equations [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2022 In this paper, we use a novel technique to solve the nonlinear fractional Volterra-Fredholm integro-differential equations (FVFIDEs). To this end, the Legendre wavelets are used in conjunction with the quadrature rule for converting the problem into a ...
M. Riahi Beni
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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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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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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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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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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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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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