In this paper inverse linear multistep methods for the numerical solution of second order differential equations are presented. Local accuracy and stability of the methods are defined and discussed. The methods are applicable to a class of special second order initial value problems, not explicitly involving the first derivative. The methods are not convergent, but yield good numerical results if applied to problems they are designed for. Numerical results are presented for both the linear and nonlinear initial value problems. © 1981.
| dc.contributor.author | Krishnaiah, U.A. | |
| dc.date.accessioned | 2026-02-05T11:00:45Z | |
| dc.date.issued | Inverse linear multistep methods for the numerical solution of initial value problems of second order differential equations | |
| dc.description.abstract | 1981 | |
| dc.identifier.citation | Journal of Computational and Applied Mathematics, 1981, 7, 2, pp. 111-114 | |
| dc.identifier.issn | 3770427 | |
| dc.identifier.uri | https://doi.org/10.1016/0771-050X(81)90043-7 | |
| dc.identifier.uri | https://idr.nitk.ac.in/handle/123456789/28146 | |
| dc.subject | MATHEMATICAL TECHNIQUES | |
| dc.title | In this paper inverse linear multistep methods for the numerical solution of second order differential equations are presented. Local accuracy and stability of the methods are defined and discussed. The methods are applicable to a class of special second order initial value problems, not explicitly involving the first derivative. The methods are not convergent, but yield good numerical results if applied to problems they are designed for. Numerical results are presented for both the linear and nonlinear initial value problems. © 1981. |