| Title:
|
A ($\alpha $)-Stable Linear Multistep Methods for Stiff IVPs in ODEs (English) |
| Author:
|
Okuonghae, R. I. |
| Author:
|
Ikhile, M. N. O. |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
50 |
| Issue:
|
1 |
| Year:
|
2011 |
| Pages:
|
73-90 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, a class of A($\alpha $)-stable linear multistep formulas for stiff initial value problems (IVPs) in ordinary differential equations (ODEs) is developed. The boundary locus of the methods shows that the schemes are A-stable for step number $k\le 3$ and stiffly stable for $k=4, 5$ and $6$. Some numerical results are reported to illustrate the method. (English) |
| Keyword:
|
second derivative method |
| Keyword:
|
collocation and interpolation |
| Keyword:
|
initial value problem |
| Keyword:
|
stiff stability |
| Keyword:
|
boundary locus |
| MSC:
|
65L05 |
| MSC:
|
65L06 |
| idZBL:
|
Zbl 1244.65098 |
| idMR:
|
MR2920700 |
| . |
| Date available:
|
2011-12-08T09:51:13Z |
| Last updated:
|
2013-09-18 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141714 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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