| Title:
|
Zero Dissipative DIRKN Pairs of Order 5(4) for Solving Special Second Order IVPs (English) |
| Author:
|
Imoni, S. O. |
| Author:
|
Ikhile, M. N. O. |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
53 |
| Issue:
|
2 |
| Year:
|
2014 |
| Pages:
|
53-69 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
For initial value problem (IVPs) in ordinary second order differential equations of the special form $y^{\prime \prime }=f\left(x,y\right)$ possessing oscillating solutions, diagonally implicit Runge–Kutta–Nystrom (DIRKN) formula-pairs of orders 5(4) in 5-stages are derived in this paper. The method is zero dissipative, thus it possesses a non-empty interval of periodicity. Some numerical results are presented to show the applicability of the new method compared with existing Runge–Kutta (RK) method applied to the problem reduced to first-order system. (English) |
| Keyword:
|
Initial value problems |
| Keyword:
|
Runge–Kutta–Nystrom pairs |
| Keyword:
|
zero dissipative |
| MSC:
|
65L05 |
| idZBL:
|
Zbl 1311.65098 |
| idMR:
|
MR3331006 |
| . |
| Date available:
|
2014-12-16T14:59:16Z |
| Last updated:
|
2020-01-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/144039 |
| . |
| Reference:
|
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