A Novel Spectral Method for Burgers Equation on The Real Line

DOI10.4208/EAJAM.201119.070220zbMath1468.65164OpenAlexW3035212540MaRDI QIDQ4986615

Yujian Jiao

Publication date: 27 April 2021

Published in: East Asian Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/eajam.201119.070220

zbMATH Keywords

spectral methodnonlinear problemBurger equation on the real linegeneralised Hermite function

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Spectral methods applied to problems in fluid mechanics (76M22) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Approximation by other special function classes (41A30)

Related Items (3)

Exact and nonstandard finite difference schemes for the Burgers equationB(2,2) ⋮ A higher order implicit adaptive finite point method for the Burgers' equation ⋮ Efficient Legendre-Laguerre spectral element methods for problems on unbounded domains with diagonalization technique

Cites Work

• Unnamed Item
• Continuous and discontinuous finite element methods for Burgers' equation
• A fully implicit finite-difference scheme for two-dimensional Burgers' equations
• Group theoretic methods applied to Burgers' equation
• Dynamics in spectral solutions of Burgers equation
• A finite element method for Burgers' equation in hydrodynamics

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