In this paper we consider a two parameter family of two-step methods for the accurate numerical integration of second order periodic initial value problems. By applying the methods to the test equation y? + ?2y = 0, we determine the parameters ?, ? so that the phase-lag (frequency distortion) of the method is minimal. The resulting method is a P-stable method with a minimal phase-lag ?6h6/42000. The superiority of the method over the other P-stable methods is illustrated by a comparative study of the phase-lag errors and by illustrating with a numerical example. © 1986.
| dc.contributor.author | Ananthakrishnaiah, U. | |
| dc.date.accessioned | 2026-02-05T11:00:44Z | |
| dc.date.issued | A class of two-step P-stable methods for the accurate integration of second order periodic initial value problems | |
| dc.description.abstract | 1986 | |
| dc.identifier.citation | Journal of Computational and Applied Mathematics, 1986, 14, 3, pp. 455-459 | |
| dc.identifier.issn | 3770427 | |
| dc.identifier.uri | https://doi.org/10.1016/0377-0427(86)90080-4 | |
| dc.identifier.uri | https://idr.nitk.ac.in/handle/123456789/28123 | |
| dc.subject | NUMERICAL INTEGRATION | |
| dc.subject | SECOND ORDER PERIODIC INITIAL VALUE PROBLEMS | |
| dc.subject | TWO-STEP P-STABLE METHODS | |
| dc.subject | MATHEMATICAL TECHNIQUES | |
| dc.title | In this paper we consider a two parameter family of two-step methods for the accurate numerical integration of second order periodic initial value problems. By applying the methods to the test equation y? + ?2y = 0, we determine the parameters ?, ? so that the phase-lag (frequency distortion) of the method is minimal. The resulting method is a P-stable method with a minimal phase-lag ?6h6/42000. The superiority of the method over the other P-stable methods is illustrated by a comparative study of the phase-lag errors and by illustrating with a numerical example. © 1986. |