Results 11 to 20 of about 321,454 (242)
Haar wavelet fractional derivative [PDF]
Proceedings of the Estonian Academy of Sciences, 2022 In this paper, the fundamental properties of fractional calculus are discussed with the aim of extending the definition of fractional operators by using wavelets. The Haar wavelet fractional operator is defined, in a more general form, independently on the kernel of the fractional integral.
C. Cattani
openaire +4 more sources
Efficient Numerical Algorithm for the Solution of Eight Order Boundary Value Problems by Haar Wavelet Method. [PDF]
Int J Appl Comput Math, 2021 In this paper, the Haar technique is applied to both nonlinear and linear eight-order boundary value problems. The eight-order derivative in the boundary value problem is approximated using Haar functions in this technique and the integration process is ...
Amin R +4 more
europepmc +2 more sources
Mathematics, 2023 This study presents a novel approach for simulating the spread of the Omicron variant of the SARS-CoV-2 virus using fractional-order COVID-19 models and the Haar wavelet collocation method.
Z. Raizah, Rahat Zarin
semanticscholar +1 more source
Symmetry, 2023 Computer networks can be alerted to possible viruses by using kill signals, which reduces the risk of virus spreading. To analyze the effect of kill signal nodes on virus propagation, we use a fractional-order SIRA model using Caputo derivatives.
Rahat Zarin +4 more
semanticscholar +1 more source
Semi-Supervised Dim and Small Infrared Ship Detection Network Based on Haar Wavelet
IEEE Access, 2021 Traditional deep learning detection network has poor effect on the detection of infrared dim and small targets on the sea in the case of interference or bad weather.
Zizhuang Song +4 more
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Energies, 2021 This article is concerned with the numerical solution of nonlinear hyperbolic Schro¨dinger equations (NHSEs) via an efficient Haar wavelet collocation method (HWCM). The time derivative is approximated in the governing equations by the central difference
Xuan Liu +6 more
semanticscholar +1 more source
Solving nonlinear PDEs using the Higher order Haar wavelet method on nonuniform and adaptive Grids
Mathematical Modelling and Analysis, 2021 The higher order Haar wavelet method (HOHWM) is used with a nonuniform grid to solve nonlinear partial differential equations numerically. The Burgers’ equation, the Korteweg–de Vries equation, the modified Korteweg–de Vries equation and the sine–Gordon ...
M. Ratas, A. Salupere, J. Majak
semanticscholar +1 more source
Journal of Function Spaces, 2021 This paper proposes a numerical method for solving fractional relaxation-oscillation equations. A relaxation oscillator is a type of oscillator that is based on how a physical system returns to equilibrium after being disrupted.
P. Sunthrayuth +5 more
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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 ...
Muhammad Ahsan +6 more
semanticscholar +1 more source
The numerical solution of fractional Korteweg‐de Vries and Burgers' equations via Haar wavelet
Mathematical methods in the applied sciences, 2021 In this article, Haar wavelet collocation technique is adapted to acquire the approximate solution of fractional Korteweg‐de Vries (KdV), Burgers', and KdV–Burgers' equations.
Laique Zada, I. Aziz
semanticscholar +1 more source