Difference scheme for an initial-boundary value problem for linear coefficient-varied parabolic differential equation with a nonsmooth boundary layer function

DOI10.1007/BF02451415zbMath0761.65071OpenAlexW2013284548WikidataQ115392162 ScholiaQ115392162MaRDI QIDQ1201654

Youyu Zhang, Yucheng Su

Publication date: 17 January 1993

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02451415

zbMATH Keywords

numerical examplesingular perturbationinitial-boundary value problemsmall parameteruniform convergencedifference schemenonuniform meshexponentially fitted methodnonsmooth boundary layer function

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) 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) Initial value problems for second-order parabolic equations (35K15)

Cites Work

• Solution of a boundary value problem for an elliptic equation with a small parameter for the leading derivatives
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