An approximation method for solving Burgers' equation using Legendre wavelets

DOI10.1007/s40010-016-0326-5zbMath1381.35148OpenAlexW2584210114MaRDI QIDQ1700281

S. K. Ayyaswamy, S. G. Venkatesh, S. Raja Balachandar

Publication date: 5 March 2018

Published in: Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40010-016-0326-5

zbMATH Keywords

convergence analysisapproximation methodsBurgers' equationLegendre polynomialsLegendre waveletsLegendre wavelet method

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) PDEs in connection with fluid mechanics (35Q35) Series solutions to PDEs (35C10)

Related Items (3)

High-order integral nodal discontinuous Gegenbauer-Galerkin method for solving viscous Burgers' equation ⋮ Efficient Chebyshev pseudospectral methods for viscous Burgers' equations in one and two space dimensions ⋮ An efficient Strang splitting technique combined with the multiquadric-radial basis function for the Burgers' equation

Cites Work

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• The Legendre wavelet method for solving initial value problems of Bratu-type
• Variational iteration method for solving Burgers and coupled Burgers equations
• A novel numerical scheme for solving Burgers' equation
• Adomian decomposition method for Burgers--Huxley and Burgers--Fisher equations
• Legendre wavelets method for solving differential equations of Lane-Emden type
• An adaptive spectral least-squares scheme for the Burgers equation
• Numerical solution of Burgers' equation by cubic B-spline quasi-interpolation
• Cubic spline technique for coupled non-linear parabolic equations
• Splitting-up technique for Burgers' equations
• Variable mesh cubic spline technique for N-wave solution of Burgers' equation
• A collocation solution for Burgers' equation using cubic B-spline finite elements
• Higher order accurate difference solutions of fluid mechanics problems by a compact differencing technique
• Numerical solutions of coupled Burgers' equation
• The operator compact implicit method for parabolic equations
• An efficient numerical scheme for Burger equation
• Numerical solution of one-dimensional Burgers equation: Explicit and exact-explicit finite difference methods
• A finite element approach for solution of Burgers' equation
• The use of Chebyshev polynomials in the space-time least-squares spectral element method
• A numerical solution of the Burgers' equation using cubic B-splines
• Homotopy perturbation method: a new nonlinear analytical technique
• A Galerkin finite element approach to Burgers' equation
• Numerical technique for solving convective-reaction-diffusion equation
• Least-squares spectral element method for non-linear hyperbolic differential equations
• B-spline Galerkin methods for numerical solutions of the Burgers' equation
• Higher-order Gauss-Lobatto integration for nonlinear hyperbolic equations
• Fourth-order finite difference method for solving Burgers' equation
• Legendre wavelets method for the nonlinear Volterra---Fredholm integral equations
• Generalized Petrov-Galerkin methods for the numerical solution of Burgers' equation
• Some numerical experiments on the splitting of Burgers' equation
• Higher-Order Numerical Solutions Using Cubic Splines
• A finite element method for Burgers' equation in hydrodynamics
• Upwinding of high order Galerkin methods in conduction−convection problems
• A table of solutions of the one-dimensional Burgers equation
• On a quasi-linear parabolic equation occurring in aerodynamics
• Legendre wavelets method for the solution of nonlinear problems in the calculus of variations

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