Convergence of a finite-volume scheme for the drift-diffusion equations in 1D

DOI10.1093/imanum/23.1.81zbMath1018.65109OpenAlexW2064515713MaRDI QIDQ4796734

Yue-Jun Peng, Claire Chainais-Hillairet

Publication date: 26 August 2003

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/23.1.81

zbMATH Keywords

convergencenumerical examplesfinite volume schemedegenerate parabolic equationsnonlinear drift-diffusion equationssemiconductor model

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

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