An approximation method for solving Burgers' equation using Legendre wavelets
type: Item
instance of: scholarly article
title: An approximation method for solving Burgers' equation using Legendre wavelets
zbMATH Open document ID: 1381.35148
author: S. G. Venkatesh
author: S. K. Ayyaswamy
author: S. Raja Balachandar
published in: Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences
publication date: 2018-03-05T00:00:00Z
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35C10
Mathematics Subject Classification ID: 42C40
zbMATH DE Number: 6846843
zbMATH Keywords: Burgers' equation
zbMATH Keywords: Legendre polynomials
zbMATH Keywords: Legendre wavelets
zbMATH Keywords: Legendre wavelet method
zbMATH Keywords: approximation methods
zbMATH Keywords: convergence analysis
MaRDI profile type: Publication
full work available at URL: s40010-016-0326-5
OpenAlex ID: W2584210114
cites work: Q5838351
cites work: A table of solutions of the one-dimensional Burgers equation
cites work: On a quasi-linear parabolic equation occurring in aerodynamics
cites work: The operator compact implicit method for parabolic equations
cites work: Higher order accurate difference solutions of fluid mechanics problems by a compact differencing technique
cites work: Q3208026
cites work: Upwinding of high order Galerkin methods in conduction−convection problems
cites work: Generalized Petrov-Galerkin methods for the numerical solution of Burgers' equation
cites work: A finite element method for Burgers' equation in hydrodynamics
cites work: Some numerical experiments on the splitting of Burgers' equation
cites work: Splitting-up technique for Burgers' equations
cites work: The use of Chebyshev polynomials in the space-time least-squares spectral element method
cites work: Higher-order Gauss-Lobatto integration for nonlinear hyperbolic equations
cites work: Least-squares spectral element method for non-linear hyperbolic differential equations
cites work: An adaptive spectral least-squares scheme for the Burgers equation
cites work: A collocation solution for Burgers' equation using cubic B-spline finite elements
cites work: A numerical solution of the Burgers' equation using cubic B-splines
cites work: B-spline Galerkin methods for numerical solutions of the Burgers' equation
cites work: An efficient numerical scheme for Burger equation
cites work: Numerical solutions of coupled Burgers' equation
cites work: Cubic spline technique for coupled non-linear parabolic equations
cites work: Numerical technique for solving convective-reaction-diffusion equation
cites work: Variable mesh cubic spline technique for N-wave solution of Burgers' equation
cites work: Higher-Order Numerical Solutions Using Cubic Splines
cites work: A finite element approach for solution of Burgers' equation
cites work: Legendre wavelets method for the solution of nonlinear problems in the calculus of variations
cites work: Legendre wavelets method for the nonlinear Volterra---Fredholm integral equations
cites work: Q5293091
cites work: Legendre wavelets method for solving differential equations of Lane-Emden type
cites work: The Legendre wavelet method for solving initial value problems of Bratu-type
cites work: Q4918941
cites work: A novel numerical scheme for solving Burgers' equation
cites work: Numerical solution of Burgers' equation by cubic B-spline quasi-interpolation
cites work: Fourth-order finite difference method for solving Burgers' equation
cites work: Numerical solution of one-dimensional Burgers equation: Explicit and exact-explicit finite difference methods
cites work: A Galerkin finite element approach to Burgers' equation
cites work: Q4904057
cites work: Adomian decomposition method for Burgers--Huxley and Burgers--Fisher equations
cites work: Variational iteration method for solving Burgers and coupled Burgers equations
cites work: Homotopy perturbation method: a new nonlinear analytical technique
DOI: 10.1007/S40010-016-0326-5
description: scientific article; zbMATH DE number 6846843