Results 11 to 20 of about 77,620 (219)

Haar wavelet fractional derivative [PDF]

open access: yesProceedings 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.
Carlo Cattani
doaj   +3 more sources

A stability-enhanced preconditioned Haar wavelet scheme for the solution of Poisson and Helmholtz equations [PDF]

open access: yesScientific Reports
This study presents a modified numerical framework based on scale-3 Haar wavelets for the solution of elliptic partial differential equations, namely the Poisson and the Helmholtz equations.
Avinash K., Harinakshi Karkera
doaj   +2 more sources

The special atom space and Haar wavelets in higher dimensions [PDF]

open access: yesDemonstratio Mathematica, 2020
In this note, we will revisit the special atom space introduced in the early 1980s by Geraldo De Souza and Richard O’Neil. In their introductory work and in later additions, the space was mostly studied on the real line.
Kwessi Eddy   +3 more
doaj   +2 more sources

A Comparative Study using Scale-2 and Scale-3 Haar Wavelet for the Solution of Higher Order Differential Equation [PDF]

open access: yesInternational Journal of Mathematical, Engineering and Management Sciences, 2023
A comparative study of scale-2 and scale-3 Haar wavelet has been presented to illustrate the level of accuracy attained by both the wavelets by applying on higher order differential equations known as Emden fowler equation, which has great importance in ...
Ratesh Kumar, Jaya Gupta
doaj   +1 more source

Wavelet analysis of temporal data [PDF]

open access: yes, 2008
This thesis considers the application of wavelets to problems involving multiple series of temporal data. Wavelets have proven to be highly effective at extracting frequency information from data.
Goodwin, David Alexander
core   +7 more sources

A Wavelet Collocation Method for some Fractional Models

open access: yesRatio Mathematica, 2022
This article presents an effective numerical approach based on the operational matrix of fractional order integration of Haar wavelets for dealing with the fractional models of the mixing and the Newton law of cooling problems.
R Aruldoss, G. Jasmine
doaj   +1 more source

Green–Haar wavelets method for generalized fractional differential equations

open access: yesAdvances in Difference Equations, 2020
The objective of this paper is to present two numerical techniques for solving generalized fractional differential equations. We develop Haar wavelets operational matrices to approximate the solution of generalized Caputo–Katugampola fractional ...
Mujeeb ur Rehman   +4 more
doaj   +1 more source

Solution of Fisher Kolmogorov Petrovsky Equation Driven via Haar Scale-3 Wavelet Collocation Method

open access: yesInternational Journal of Mathematical, Engineering and Management Sciences, 2022
The design of the proposed study is to examine the presentation of a novel numerical techniques based on Scale-3 Haar wavelets for a kind of reaction-diffusion system i.e., Fisher KPP (Kolmogorov Petrovsky Piskunove) Equation.
Ratesh Kumar, Sonia Arora
doaj   +1 more source

Method of Lines With Haar Wavelet For Solving Parabolic Differential Equation [PDF]

open access: yesمجلة التربية والعلم, 2006
In this paper we present a theoretical framework and numerical comparisons for a wavelet-based algorithm associated with both method of lines and wavelets for solving some partial differential equations.
Kais Ismail Ibraheem
doaj   +1 more source

A reliable multi-resolution collocation algorithm for nonlinear Schrödinger equation with wave operator

open access: yesApplied Mathematics in Science and Engineering, 2023
The solution of a nonlinear hyperbolic Schrödinger equation (NHSE) is proposed in this paper using the Haar wavelet collocation technique (HWCM). The central difference technique is applied to handle the temporal derivative in the NHSE and the finite ...
Weidong Lei   +4 more
doaj   +1 more source

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