Spectral analysis on Burgers' equation and its solutions using three different basis functions
type: Item
instance of: scholarly article
title: Spectral analysis on Burgers' equation and its solutions using three different basis functions
zbMATH Open document ID: 1407.65227
author: Sagithya Thirumalai
author: Rajeswari Seshadri
published in: International Journal of Applied and Computational Mathematics
publication date: 2018-10-15T00:00:00Z
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 76L05
Mathematics Subject Classification ID: 41A10
Mathematics Subject Classification ID: 41A50
Mathematics Subject Classification ID: 42C10
Mathematics Subject Classification ID: 33C45
zbMATH DE Number: 6954764
zbMATH Keywords: spectral collocation method
zbMATH Keywords: Burgers' equation
zbMATH Keywords: Chebyshev
zbMATH Keywords: Legendre polynomials
zbMATH Keywords: Jacobi polynomials
MaRDI profile type: Publication
Wikidata QID: Q114218640
full work available at URL: s40819-018-0525-7
OpenAlex ID: W2804580725
cites work: Numerical solution of the Burgers' equation by automatic differentiation
cites work: Biorthogonal multiwavelets on the interval for numerical solutions of Burgers' equation
cites work: Q3183047
cites work: A mixed finite difference and boundary element approach to one-dimensional Burgers' equation
cites work: Chebyshev and Fourier spectral methods.
cites work: On a quasi-linear parabolic equation occurring in aerodynamics
cites work: The spectral collocation method with three different bases for solving a nonlinear partial differential equation arising in modeling of nonlinear waves
cites work: Mixed finite difference and Galerkin methods for solving Burgers equations using interpolating scaling functions
cites work: Q5744481
cites work: Numerical solution of nonlinear Burgers' equation using high accuracy multi-quadric quasi-interpolation
cites work: A fifth-order finite volume weighted compact scheme for solving one-dimensional Burgers' equation
cites work: Spectral collocation methods
cites work: The partial differential equation ut + uux = μxx
cites work: Lagrange interpolation and modified cubic B-spline differential quadrature methods for solving hyperbolic partial differential equations with Dirichlet and Neumann boundary conditions
cites work: A Haar wavelet quasilinearization approach for numerical simulation of Burgers' equation
cites work: A hybrid numerical scheme for the numerical solution of the Burgers' equation
cites work: A numerical scheme based on weighted average differential quadrature method for the numerical solution of Burgers' equation
cites work: Numerical simulation of two-dimensional sine-Gordon solitons by differential quadrature method
cites work: A Chebyshev spectral collocation method for solving Burgers'-type equations
cites work: Polynomial based differential quadrature method for numerical solution of nonlinear Burgers equation
cites work: Shock wave simulations using Sinc Differential Quadrature Method
cites work: Numerical solution of one-dimensional Burgers equation: Explicit and exact-explicit finite difference methods
cites work: Q5531436
cites work: A differential quadrature method for numerical solutions of Burgers'‐type equations
cites work: Q3693118
cites work: Q5583224
cites work: Global properties of pseudospectral methods
cites work: An algorithm based on exponential modified cubic B-spline differential quadrature method for nonlinear Burgers' equation
cites work: An exact solution for Burger's equation
DOI: 10.1007/S40819-018-0525-7
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description: scientific article; zbMATH DE number 6954764