Numerical Solutions of the 1D Convection–Diffusion–Reaction and the Burgers Equation Using Implicit Multi-stage and Finite Element Methods

DOI10.1007/978-1-4614-7828-7_15zbMath1279.65107OpenAlexW1927223562MaRDI QIDQ2863621

N. M. L. Romeiro, Cibele A. Ladeia

Publication date: 25 November 2013

Published in: Integral Methods in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4614-7828-7_15

zbMATH Keywords

convergencenumerical examplesBurgers equationerror analysissemidiscretizationleast squaresGalerkinfinite elements methodsstreamline-upwind Petrov-Galerkin1D convection-diffusion-reaction equationimplicit multi-stage methods

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Initial-boundary value problems for second-order parabolic equations (35K20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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