High Order Finite Difference Schemes for the Heat Equation Whose Convergence Rates are Higher Than Their Truncation Errors

DOI10.1007/978-3-319-19800-2_13zbMath1352.65233arXiv1711.07926OpenAlexW2322064322MaRDI QIDQ2831194

Adi Ditkowski

Publication date: 2 November 2016

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.07926

zbMATH Keywords

convergenceheat equationerror estimatesemidiscretizationlocal truncation errorhigh-order finite difference schemes

Mathematics Subject Classification ID

Heat equation (35K05) 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) 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)

Related Items (2)

Explicit and implicit error inhibiting schemes with post-processing ⋮ Error inhibiting block one-step schemes for ordinary differential equations

Cites Work

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