Results 41 to 50 of about 311,920 (239)

Discrete differential operators in multidimensional Haar wavelet spaces

International Journal of Mathematics and Mathematical Sciences, 2004
We consider a class of discrete differential operators acting on multidimensional Haar wavelet basis with the aim of finding wavelet approximate solutions of partial differential problems.
Carlo Cattani, Luis M. Sánchez Ruiz
doaj   +1 more source

A higher-order collocation technique based on Haar wavelets for fourth-order nonlinear differential equations having nonlocal integral boundary conditions

Alexandria Engineering Journal
This article encounters the use of two wavelet methods, namely the collocation method based on Haar wavelets (CMHW) and the higher-order collocation method based on Haar wavelets (HCMHW), to solve linear and nonlinear fourth-order differential equations ...
Muhammad Ahsan, Weidong Lei, Amir Ali Khan, Masood Ahmed, Maher Alwuthaynani, Ayesha Amjad   +5 more
doaj   +1 more source

APPROXIMATE OPTIMAL CONTROL OF LINEAR TIME-DELAY SYSTEMS VIA HAAR WAVELETS [PDF]

Journal of Engineering Science and Technology, 2016
In this paper, Haar wavelet benefits are applied to the optimal control of linear time-delay systems. A discretized form of optimal control problem at collocation points based on some useful properties of Haar wavelets transforms original problem into a ...
AKBAR H. BORZABADI, SOLAYMAN ASADI
doaj  

Haar wavelets multi-resolution collocation analysis of unsteady inverse heat problems

Inverse Problems in Science and Engineering, 2018
In this paper, two different Haar wavelet collocation multi-resolution procedures are proposed for linear partial differential equations (PDEs) with an unknown space-dependent heat source and an unknown solution.
M. Ahsan, Siraj-ul-Islam, I. Hussain
semanticscholar   +1 more source

Wavelets: mathematics and applications

, 2004
The notion of wavelets is defined. It is briefly described {\it what} are wavelets, {\it how} to use them, {\it when} we do need them, {\it why} they are preferred and {\it where} they have been applied.
A. Grossman, A. Haar, A. V. Apanasenko, C. K. Chui, E. A. Wolf De, G. Erlebacher, G. Kaiser, I. Daubechies, I. M. Dremin, I. M. Dremin, I. M. Dremin, I. M. Dremin, I. M. Dremin, I. M. Dremin, J. Morlet, K. Hernandez, L. A. N. Amaral, N. M. Astafyeva, N. M. Astafyeva, P. C. Ivanov, R. Carmona, S. Mallat, S. Thurner, Y. Meyer, Y. Meyer, Y. Meyer   +25 more
core   +2 more sources

Enhancing Volatility Prediction: A Wavelet‐Based Hierarchical Forecast Reconciliation Approach

Journal of Forecasting, EarlyView.
ABSTRACT Forecasting realized volatility (RV) has been widely studied, with numerous techniques developed to enhance predictive accuracy. Among these techniques, the use of RV decompositions based on intraday asset returns has been applied. However, the use of a frequency‐based decomposition, which provides unique insights into the dynamics of RV ...
Adam Clements, Ajith Perera
wiley   +1 more source

Photovoltaic system faults detection using fractional multiresolution signal decomposition

Electrical engineering & Electromechanics
Introduction. In this paper, we present an innovative methodology based on fractional wavelets for detecting defects in photovoltaic systems. Photovoltaic solar systems play a key role in the transition to a low-carbon economy, but they are susceptible ...
A. Lanani, D. Djamai, A. Beddiaf, A. Saidi, A. Abboudi   +4 more
doaj   +1 more source

A Multiscale Guide to Brownian Motion

, 2015
We revise the Levy's construction of Brownian motion as a simple though still rigorous approach to operate with various Gaussian processes. A Brownian path is explicitly constructed as a linear combination of wavelet-based "geometrical features" at ...
Beliaev, Dmitry, Grebenkov, Denis S., Jones, Peter W.   +2 more
core   +1 more source

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

Mathematical Methods in the Applied Sciences, EarlyView.
A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay, Mtema James Chin, Nazim I. Mahmudov   +2 more
wiley   +1 more source

A Haar wavelet-based scheme for finding the control parameter in nonlinear inverse heat conduction equation

Open Physics, 2021
In this article, a hybrid Haar wavelet collocation method (HWCM) is proposed for the ill-posed inverse problem with unknown source control parameters. Applying numerical techniques to such problems is a challenging task due to the presence of nonlinear ...
Ahsan Muhammad, Lin Shanwei, Ahmad Masood, Nisar Muhammad, Ahmad Imtiaz, Ahmed Hijaz, Liu Xuan   +6 more
doaj   +1 more source