Note on Finite Difference Approximations to Burgers’ Equation

DOI10.1137/0905060zbMath0567.65085OpenAlexW2124148066MaRDI QIDQ3683494

Hassan Aref, Prabir K. Daripa

Publication date: 1984

Published in: SIAM Journal on Scientific and Statistical Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0905060

zbMATH Keywords

phase plane analysisBurgers' equationspurious solutionsenergy conserving discretizationunlimited amplitude growth

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Partial differential equations of mathematical physics and other areas of application (35Q99) Applications to the sciences (65Z05) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (6)

Studies in numerical nonlinear instability. II. A new look at \(u_ t+uu_ x=0\) ⋮ Maximum norm convergence analysis of extrapolated Crank-Nicolson orthogonal spline collocation for Burgers' equation in one space variable ⋮ A comparison of some adaptive space mesh solvers for the numerical solution of parabolic partial differential equations ⋮ On the uniqueness of solutions in inverse problems for Burgers' equation under a transverse diffusion ⋮ On the spectral and conservation properties of nonlinear discretization operators ⋮ A composite integration scheme for the numerical solution of systems of parabolic PDEs in one space dimension

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