Contribution to error estimate

DOI10.1016/0022-247X(82)90185-8zbMath0512.34011MaRDI QIDQ1839345

Teodor M. Atanacković, Djordje S. Djukic

Publication date: 1982

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

error estimateapproximate solutiontwo-point boundary conditionsdifferential equations second order

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Nonlinear ordinary differential equations and systems (34A34) Rate of convergence, degree of approximation (41A25) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Cites Work

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• Error bounds via a new extremum variational principle, mean square residual and weighted mean square residual
• The method of weighted residuals and variational principles. With application in fluid mechanics, heat and mass transfer
• On the use of Jourdain's variational principle in nonlinear mechanics and transport phenomena
• Nonlinear boundary-value problems arising in chemical reactor theory
• Numerical methods of high-order accuracy for nonlinear boundary value problems. I: One dimensional problem
• Dual extremum principles and error bounds for a class of boundary value problems

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