Convergence of finite difference method for the parabolic problem with concentrated capacity and variable operator

DOI10.1016/j.cam.2005.03.031zbMath1111.65079OpenAlexW1970710017MaRDI QIDQ818184

N. E. Zubov

Publication date: 24 March 2006

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2005.03.031

zbMATH Keywords

convergenceheat equationfinite difference methoderror boundparabolic problemdelta functionenergetic Sobolev normvariable operator

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) PDEs with low regular coefficients and/or low regular data (35R05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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Cites Work

• An introduction to partial differential equations
• Bounds for a class of linear functionals with applications to Hermite interpolation
• On the Convergence of Difference Schemes for Hyperbolic Problems with Concentrated Data
• On the convergence of finite difference schemes for the heat equation with concentrated capacity
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