Bildik N.Inç M.2024-07-222024-07-22200310290265http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/20106In 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.EnglishAsymptotic stabilityComputational geometryDigital arithmeticError analysisHarmonic analysisNumerical methodsArithmetic mean (AM)Centroidal mean (CeM)Contraharmonic mean (CoM)Geometric mean (GM)Harmonic mean (HaM)Heronian mean (HeM)Local truncation errorsLogarithmic mean (LM)Nonlinear trapezoidal formulasRoot mean square (RMS)Initial value problemsArticle10.1080/0020716031000148188