A Legendre–Galerkin Chebyshev collocation method for the Burgers equation with a random perturbation on boundary condition

DOI10.1002/mma.8620OpenAlexW4289887105MaRDI QIDQ6141996

Jiajia Pan, Hua Wu

Publication date: 21 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.8620

zbMATH Keywords

Burgers equationChebyshev collocation methodLegendre-Galerkin methodsupersensitivity

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Partial differential equations (35-XX)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Error estimate of a Legendre-Galerkin Chebyshev collocation method for a class of parabolic inverse problem
• Efficient stochastic Galerkin methods for random diffusion equations
• Numerical solution of SDE through computer experiments. Including floppy disk
• A new stochastic approach to transient heat conduction modeling with uncertainty.
• Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos
• The orthogonal development of non-linear functionals in series of Fourier-Hermite functionals
• Spectral Methods
• A Fast Algorithm for the Evaluation of Legendre Expansions
• Spectral Methods for Uncertainty Quantification
• Efficient Spectral-Galerkin Method I. Direct Solvers of Second- and Fourth-Order Equations Using Legendre Polynomials
• Chebyshev--Legendre Spectral Viscosity Method for Nonlinear Conservation Laws
• Spectral Methods in MATLAB
• The Legendre Galerkin-Chebyshev collocation method for Burgers-like equations
• Supersensitivity due to uncertain boundary conditions
• The Homogeneous Chaos