full
search.png

Search

close.png

Cancel

arrow
Volume 20, Issue 2
Efficient Sixth Order P-Stable Methods with Minimal Local Truncation Error for $y"=f(x,y)$

Kai-Li Xiang & R. M. Thomas

J. Comp. Math., 20 (2002), pp. 175-184.

Published online: 2002-04

Preview Full PDF 1779 18786

Cited by

google scholar semantic scholar
Export citation
  • Abstract

A family of symmetric (hybrid) two step sixth P-stable methods for the accurate numerical integration of second order periodic initial value problems have been considered in this paper. These methods, which require only three (new) function evaluation per iteration and per step integration. These methods have minimal local truncation error (LTE) and smaller phase-lag of sixth order than some sixth orders P-stable methods in [1-3,10-11]. The theoretical and numerical results show that these methods in this paper are more accurate and efficient than some methods proposed in [1-3,10].

  • Keywords

Second order periodic initial value problems, P-stable, Phase-lag, Local truncation error.

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{JCM-20-175, author = {Xiang , Kai-Li and Thomas , R. M.}, title = {Efficient Sixth Order P-Stable Methods with Minimal Local Truncation Error for $y"=f(x,y)$}, journal = {Journal of Computational Mathematics}, year = {2002}, volume = {20}, number = {2}, pages = {175--184}, abstract = {

A family of symmetric (hybrid) two step sixth P-stable methods for the accurate numerical integration of second order periodic initial value problems have been considered in this paper. These methods, which require only three (new) function evaluation per iteration and per step integration. These methods have minimal local truncation error (LTE) and smaller phase-lag of sixth order than some sixth orders P-stable methods in [1-3,10-11]. The theoretical and numerical results show that these methods in this paper are more accurate and efficient than some methods proposed in [1-3,10].

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8908.html} }
TY - JOUR T1 - Efficient Sixth Order P-Stable Methods with Minimal Local Truncation Error for $y"=f(x,y)$ AU - Xiang , Kai-Li AU - Thomas , R. M. JO - Journal of Computational Mathematics VL - 2 SP - 175 EP - 184 PY - 2002 DA - 2002/04 SN - 20 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8908.html KW - Second order periodic initial value problems, P-stable, Phase-lag, Local truncation error. AB -

A family of symmetric (hybrid) two step sixth P-stable methods for the accurate numerical integration of second order periodic initial value problems have been considered in this paper. These methods, which require only three (new) function evaluation per iteration and per step integration. These methods have minimal local truncation error (LTE) and smaller phase-lag of sixth order than some sixth orders P-stable methods in [1-3,10-11]. The theoretical and numerical results show that these methods in this paper are more accurate and efficient than some methods proposed in [1-3,10].

Kai-Li Xiang & R.M. Thomas. (1970). Efficient Sixth Order P-Stable Methods with Minimal Local Truncation Error for $y"=f(x,y)$. Journal of Computational Mathematics. 20 (2). 175-184. doi:
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard