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

Bildik N., Inç M.

International Journal of Computer Mathematics, cilt.80, sa.9, ss.1175-1188, 2003 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 80 Sayı: 9
  • Basım Tarihi: 2003
  • Doi Numarası: 10.1080/0020716031000148188
  • Dergi Adı: International Journal of Computer Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1175-1188
  • Anahtar Kelimeler: nonlinear trapezoidal formula, initial value problems, stability, numerical methods, local truncation error
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

In 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.