High-order integral nodal discontinuous Gegenbauer-Galerkin method for solving viscous Burgers' equation (Q5031734)

scientific article; zbMATH DE number 7474758

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English	High-order integral nodal discontinuous Gegenbauer-Galerkin method for solving viscous Burgers' equation	scientific article; zbMATH DE number 7474758

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instance of

scholarly article

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title

High-order integral nodal discontinuous Gegenbauer-Galerkin method for solving viscous Burgers' equation (English)

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International Journal of Computer Mathematics

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publication date

16 February 2022

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zbMATH Keywords

barycentric

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Burgers' equation

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discontinuous Galerkin

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Gegenbauer-Gauss

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Gegenbauer polynomials

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integration matrix

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describes a project that uses

mctoolbox

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1080/00207160.2018.1554860

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cites work

A numerical solution of Burgers' equation by modified Adomian method

0 references

Numerical solution of Burgers' equation with modified cubic B-spline differential quadrature method

0 references

Numerical solution of the Burgers' equation by automatic differentiation

0 references

A differential quadrature based numerical method for highly accurate solutions of Burgers' equation

0 references

On Preconditioned Iterative Methods for Burgers Equations

0 references

A Probabilistic Approach to a Solution of Nonlinear Parabolic Equations

0 references

The use of variational iteration method, differential transform method and Adomian decomposition method for solving different types of nonlinear partial differential equations

0 references

Q4039908

0 references

Q4627054

0 references

A Staggered Discontinuous Galerkin Method with Local TV Regularization for the Burgers Equation

0 references

Numerical solution of turbulence problems by solving Burgers' equation

0 references

An efficient spectral method for ordinary differential equations with rational function coefficients

0 references

Variational multiscale element-free Galerkin method combined with the moving Kriging interpolation for solving some partial differential equations with discontinuous solutions

0 references

The complex Burgers equation as a model for collinear interactions of weakly nonlinear shear plane waves in anisotropic elastic materials

0 references

Automatic spectral collocation for integral, integro-differential, and integrally reformulated differential equations

0 references

Chebyshev Solution of Differential, Integral and Integro-Differential Equations

0 references

Integration Preconditioning Matrix for Ultraspherical Pseudospectral Operators

0 references

Generation of higher order pseudospectral integration matrices

0 references

High-order numerical solution of second-order one-dimensional hyperbolic telegraph equation using a shifted Gegenbauer pseudospectral method

0 references

High-order adaptive Gegenbauer integral spectral element method for solving non-linear optimal control problems

0 references

High-order, stable, and efficient pseudospectral method using barycentric Gegenbauer quadratures

0 references

Optimal control of a parabolic distributed parameter system using a fully exponentially convergent barycentric shifted Gegenbauer integral pseudospectral method

0 references

Optimization via Chebyshev polynomials

0 references

High-order shifted Gegenbauer integral pseudo-spectral method for solving differential equations of Lane-Emden type

0 references

Fast, accurate, and small-scale direct trajectory optimization using a Gegenbauer transcription method

0 references

Optimal Gegenbauer quadrature over arbitrary integration nodes

0 references

Solving boundary value problems, integral, and integro-differential equations using Gegenbauer integration matrices

0 references

Costate approximation in optimal control using integral Gaussian quadrature orthogonal collocation methods

0 references

A Preconditioning Matrix for the Chebyshev Differencing Operator

0 references

Numerical solution of Burgers' equation by cubic Hermite collocation method

0 references

Application of polynomial preconditioners to conservation laws

0 references

Spectral Integration and Two-Point Boundary Value Problems

0 references

A fifth-order finite volume weighted compact scheme for solving one-dimensional Burgers' equation

0 references

The variational homotopy perturbation method for solving \(((n\times n)+1)\) dimensional Burgers' equations

0 references

Integration Preconditioning of Pseudospectral Operators. I. Basic Linear Operators

0 references

Accuracy and Stability of Numerical Algorithms

0 references

The numerical stability of barycentric Lagrange interpolation

0 references

A new mixed finite element method based on the Crank-Nicolson scheme for Burgers' equation.

0 references

A Haar wavelet quasilinearization approach for numerical simulation of Burgers' equation

0 references

A hybrid numerical scheme for the numerical solution of the Burgers' equation

0 references

A numerical scheme based on weighted average differential quadrature method for the numerical solution of Burgers' equation

0 references

Optimal boundary control of the unsteady Burgers equation with simultaneous space-time discretization

0 references

Implementing Spectral Methods for Partial Differential Equations

0 references

Polynomial based differential quadrature method for numerical solution of nonlinear Burgers equation

0 references

Wavelet based preconditioners for sparse linear systems

0 references

Numerical solutions of nonlinear Burgers equation with modified cubic B-splines collocation method

0 references

A differential quadrature method for numerical solutions of Burgers'‐type equations

0 references

Efficient numerical techniques for Burgers' equation

0 references

Variable shape parameter strategy in local radial basis functions collocation method for solving the 2D nonlinear coupled Burgers' equations

0 references

A Fast and Well-Conditioned Spectral Method

0 references

Q3872879

0 references

Numerical solution of the coupled viscous Burgers equations by Chebyshev-Legendre pseudo-spectral method

0 references

A Collocation Solution For Burgers Equation Using Quadratic B-Spline Finite Elements

0 references

A sixth-order compact finite difference scheme to the numerical solutions of Burgers' equation

0 references

The local discontinuous Galerkin finite element method for Burger's equation

0 references

A finite element multigrid preconditioner for Chebyshev-collocation methods

0 references

Q4779819

0 references

Some implicit methods for the numerical solution of Burgers' equation

0 references

An algorithm based on exponential modified cubic B-spline differential quadrature method for nonlinear Burgers' equation

0 references

Efficient and stable generation of higher-order pseudospectral integration matrices

0 references

An Instability Phenomenon in Spectral Methods

0 references

Moving mesh discontinuous Galerkin methods for PDEs with traveling waves

0 references

An approximation method for solving Burgers' equation using Legendre wavelets

0 references

Spectral integration of linear boundary value problems

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Implicit time integration of hyperbolic conservation laws via discontinuous Galerkin methods

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Identifiers

DOI

10.1080/00207160.2018.1554860

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5031734