An efficient operational matrix approach for the solutions of Burgers' and fractional Burgers' equations using wavelets
type: Item
instance of: scholarly article
title: An efficient operational matrix approach for the solutions of Burgers' and fractional Burgers' equations using wavelets
author: N. E. Zubov
publication date: 2021-05-10T00:00:00Z
Mathematics Subject Classification ID: 65T60
Mathematics Subject Classification ID: 35K59
Mathematics Subject Classification ID: 47J26
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35R11
zbMATH DE Number: 7346611
zbMATH Keywords: Burgers' equation
zbMATH Keywords: time-fractional Burgers' equation
zbMATH Keywords: Chebyshev wavelets
zbMATH Keywords: Hopf-Cole transformation
zbMATH Keywords: operational matrices
zbMATH Keywords: Picard method
MaRDI profile type: Publication
full work available at URL: s10910-020-01206-2
OpenAlex ID: W3122845869
cites work: Q4844977
cites work: The diffusion-Brusselator equation
cites work: On a quasi-linear parabolic equation occurring in aerodynamics
cites work: A Haar wavelet-finite difference hybrid method for the numerical solution of the modified Burgers' equation
cites work: The solution of coupled Burgers' equations using Adomian-Padé technique
cites work: Numerical solutions of coupled Burgers' equation
cites work: An explicit-implicit method for a class of time-dependent partial differential equations
cites work: Generating exact solutions of the two-dimensional Burgers' equations
cites work: Variational iteration method for solving Burgers and coupled Burgers equations
cites work: Space‐time finite elements incorporating characteristics for the burgers' equation
cites work: A finite difference approach for solution of Burgers' equation
cites work: Spectral and finite difference solutions of the Burgers equations
cites work: A numerical solution of Burgers' equation based on least squares approximation
cites work: A numerical method based on Crank-Nicolson scheme for Burgers' equation
cites work: Higher-order accurate numerical solution of unsteady Burgers' equation
cites work: A comparison between Cole-Hopf transformation and the decomposition method for solving Burgers' equations
cites work: Numerical solution of differential equations using Haar wavelets
cites work: THE COMPUTATION OF WAVELET-GALERKIN APPROXIMATION ON A BOUNDED INTERVAL
cites work: A table of solutions of the one-dimensional Burgers equation
cites work: A direct variational method applied to Burgers' equation
cites work: A numerical solution of Burgers' equation
cites work: A finite element approach to Burgers' equation
cites work: Solution of Burgers' equation with a large Reynolds number
cites work: A Variational-Iterative Scheme Applied to Burgers' Equation
cites work: Numerical solution of one-dimensional Burgers' equation using reproducing kernel function
cites work: Conjugate filter approach for solving Burgers' equation
cites work: Q3508739
cites work: Numerical solution of Burgers' equation with restrictive Taylor approximation
cites work: Numerical solutions of the Eulerian equations of compressible flow by a finite element method which follows the free boundary and the interfaces
cites work: A finite element approach for solution of Burgers' equation
cites work: A Haar wavelet quasilinearization approach for numerical simulation of Burgers' equation
cites work: A wavelet-based method for numerical solution of nonlinear evolution equations
cites work: Q4781192
cites work: Haar Wavelet Splines
cites work: Haar wavelet method for solving lumped and distributed-parameter systems
cites work: State analysis of linear time delayed systems via Haar wavelets
cites work: Haar wavelet approach to nonlinear stiff systems
cites work: Haar wavelet in estimating depth profile of soil temperature
cites work: Haar wavelet method for solving Fisher's equation
cites work: A Comparative Study of a Haar Wavelet Method and a Restrictive Taylor's Series Method for Solving Convection-diffusion Equations
cites work: Review of wavelet methods for the solution of reaction-diffusion problems in science and engineering
cites work: An efficient wavelet based spectral method to singular boundary value problems
cites work: A new coupled wavelet-based method applied to the nonlinear reaction-diffusion equation arising in mathematical chemistry
cites work: Q3836280
DOI: 10.1007/S10910-020-01206-2
published in: Journal of Mathematical Chemistry
Recommended article: An efficient operational matrix method for the numerical solutions of the fractional Bagley-Torvik equation using wavelets
Recommended article: Novel operational matrices-based finite difference/spectral algorithm for a class of time-fractional Burger equation in multidimensions
Recommended article: The numerical solution of fractional Korteweg‐de Vries and Burgers' equations via Haar wavelet
Recommended article: Q5192563
Recommended article: Q3500827
Recommended article: A wavelet operational method for solving fractional partial differential equations numerically
Recommended article: A new operational matrix based on Bernoulli wavelets for solving fractional delay differential equations
Recommended article: Numerical solutions of inverse time fractional coupled Burgers' equations by the Chebyshev wavelet method
Recommended article: Fractional Gegenbauer wavelets operational matrix method for solving nonlinear fractional differential equations
Recommended article: Bernoulli wavelet operational matrix of fractional order integration and its applications in solving the fractional order differential equations
description: scientific article; zbMATH DE number 7346611