On the numerical solution of initial value problems for nonlinear trapezoidal formulas with different types

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dc.contributor.authorBildik N.
dc.contributor.authorInç M.
dc.date.accessioned2024-07-22T08:24:45Z
dc.date.available2024-07-22T08:24:45Z
dc.date.issued2003
dc.description.abstractIn this paper, the local truncation errors of the trapezoidal formulas such as arithmetic mean (AM), geometric mean (GM), heronian mean (HeM), harmonic mean (HaM), contraharmonic mean (CoM), root mean square (RMS), logarithmic mean (LM) and centroidal mean (CeM) are investigated and the stability analysis of these formulas are found. Finally, it is applied to various initial value problems.
dc.identifier.DOI-ID10.1080/0020716031000148188
dc.identifier.issn10290265
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/20106
dc.language.isoEnglish
dc.subjectAsymptotic stability
dc.subjectComputational geometry
dc.subjectDigital arithmetic
dc.subjectError analysis
dc.subjectHarmonic analysis
dc.subjectNumerical methods
dc.subjectArithmetic mean (AM)
dc.subjectCentroidal mean (CeM)
dc.subjectContraharmonic mean (CoM)
dc.subjectGeometric mean (GM)
dc.subjectHarmonic mean (HaM)
dc.subjectHeronian mean (HeM)
dc.subjectLocal truncation errors
dc.subjectLogarithmic mean (LM)
dc.subjectNonlinear trapezoidal formulas
dc.subjectRoot mean square (RMS)
dc.subjectInitial value problems
dc.titleOn the numerical solution of initial value problems for nonlinear trapezoidal formulas with different types
dc.typeArticle

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