Approximate solution of a parabolic equation with the use of a rational approximation to the operator exponential

DOI10.1134/S0012266117030107zbMath1369.65129OpenAlexW2606003596WikidataQ115250988 ScholiaQ115250988MaRDI QIDQ2358838

M. N. Oreshina

Publication date: 16 June 2017

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266117030107

zbMATH Keywords

numerical examplefundamental solutionparabolic equationapproximate solutionBorel function, a priori error estimate

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Heat equation (35K05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fundamental solutions, Green's function methods, etc. for initial value and initial-boundary value problems involving PDEs (65M80)

Related Items (2)

Spectral decomposition of normal operator in real Hilbert space ⋮ Analytic functional calculus for two operators

Cites Work

• Error estimates for projection-difference methods for differential equations with differentiable operators
• Spectral theory of linear relations on real Banach spaces
• Weighted estimate for the convergence rate of a projection difference scheme for a parabolic equation and its application to the approximation of the initial-data control problem
• Mean-square estimates for the error of a projection-difference method for parabolic equations
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