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  • 标题:New 4(3) Pairs Diagonally Implicit Runge-Kutta-Nyström Method for Periodic IVPs
  • 本地全文:下载
  • 作者:Norazak Senu ; Mohamed Suleiman ; Fudziah Ismail
  • 期刊名称:Discrete Dynamics in Nature and Society
  • 印刷版ISSN:1026-0226
  • 电子版ISSN:1607-887X
  • 出版年度:2012
  • 卷号:2012
  • DOI:10.1155/2012/324989
  • 出版社:Hindawi Publishing Corporation
  • 摘要:New 4(3) pairs Diagonally Implicit Runge-Kutta-Nyström (DIRKN) methods with reduced phase-lag are developed for the integration of initial value problems for second-order ordinary differential equations possessing oscillating solutions. Two DIRKN pairs which are three- and four-stage with high order of dispersion embedded with the third-order formula for the estimation of the local truncation error. These new methods are more efficient when compared with current methods of similar type and with the L-stable Runge-Kutta pair derived by Butcher and Chen (2000) for the numerical integration of second-order differential equations with periodic solutions.
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