Results 161 to 170 of about 311,920 (239)

Haar Wavelets

A Primer on Wavelets and Their Scientific Applications, 2021
A. Haar
openaire   +2 more sources

A numerical method based on Haar wavelets for the Hadamard-type fractional differential equations

Engineering computations, 2021
PurposeThe purpose of this paper is to obtain a numerical scheme for finding numerical solutions of linear and nonlinear Hadamard-type fractional differential equations.Design/methodology/approachThe aim of this paper is to develop a numerical scheme for
Zain ul Abdeen, M. Rehman
semanticscholar   +1 more source

Crystallographic Haar Wavelets

Journal of Fourier Analysis and Applications, 2011
Let \(\Gamma\) be a \(d\)-dimensional crystallographic group and let \(a:\,{\mathbb R}^d \to {\mathbb R}^d\) be an expanding affine map. By definition, \((\Gamma,a)\)-crystallographic multiwavelets form a finite set of functions \(\{\psi^1,\ldots, \psi^L\}\), which generate an orthonormal basis, a Riesz basis or a Parseval frame for \(L^1({\mathbb R}^d)
González, Alfredo L., Moure, María del Carmen   +1 more
openaire   +2 more sources

A numerical algorithm based on scale-3 Haar wavelets for fractional advection dispersion equation

, 2020
Purpose This paper aims to propose a novel approach based on uniform scale-3 Haar wavelets for unsteady state space fractional advection-dispersion partial differential equation which arises in complex network, fluid dynamics in porous media, biology ...
Sapna Pandit, R. Mittal
semanticscholar   +1 more source

Haar wavelets collocation method for a system of nonlinear singular differential equations

, 2020
Purpose The purpose of this paper is to propose an efficient computational technique, which uses Haar wavelets collocation approach coupled with the Newton-Raphson method and solves the following class of system of Lane–Emden equations: −(tk1y′(t))′=t−
A. Verma, Narendra Kumar, D. Tiwari
semanticscholar   +1 more source

Higher resolution methods based on quasilinearization and Haar wavelets on Lane-Emden equations

Int. J. Wavelets Multiresolution Inf. Process., 2019
Computing solutions of singular differential equations has always been a challenge as near the point of singularity it is extremely difficult to capture the solution. In this research paper, Haar wavelet coupled with quasilinearization approach (HWQA) is
A. Verma, D. Tiwari
semanticscholar   +1 more source

Sensitivity analysis of shock wave Burgers’ equation via a novel algorithm based on scale-3 Haar wavelets

International Journal of Computational Mathematics, 2017
In this paper, a novel technique is being formulated for the numerical solutions of Shock wave Burgers' equations for planar and non-planar geometry. It is well known that Burgers' equation is sensitive to the perturbations in the diffusion term. Thus we
R. C. Mittal, Sapna Pandit
semanticscholar   +1 more source

Haar Wavelet Splines

Journal of Interdisciplinary Mathematics, 2001
Abstract In this paper is discussed the numerical approximation of differential operators using Haar wavelet bases and their spline-derivatives. It is shown how to smooth the Haar family of wavelets using splines, and to compute the derivatives of the Haar function using the splines.
openaire   +2 more sources

Quasilinearized Scale-3 Haar wavelets-based algorithm for numerical simulation of fractional dynamical systems

Engineering computations, 2018
Purpose The main purpose of this work is to develop a novel algorithm based on Scale-3 Haar wavelets (S-3 HW) and quasilinearization for numerical simulation of dynamical system of ordinary differential equations. Design/methodology/approach The first
R. Mittal, Sapna Pandit
semanticscholar   +1 more source