A quantitative comparison of numerical method for solving stiff ordinary differential equations
We derive a variable step of the implicit block methods based on the backward differentiation formulae (BDF) for solving stiff initial value problems (IVPs). A simplified strategy in controlling the step size is proposed with the aim of optimizing the performance in terms of precision and computatio...
| Published in: | Mathematical Problems in Engineering |
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| Format: | Article |
| Language: | English |
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2011
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| Online Access: | https://www.scopus.com/inward/record.uri?eid=2-s2.0-81555195286&doi=10.1155%2f2011%2f193691&partnerID=40&md5=c9ec8aa50e56815a72eabf619b99880f |
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2-s2.0-81555195286 Yatim S.A.M.; Ibrahim Z.B.; Othman K.I.; Suleiman M.B. A quantitative comparison of numerical method for solving stiff ordinary differential equations 2011 Mathematical Problems in Engineering 2011 10.1155/2011/193691 https://www.scopus.com/inward/record.uri?eid=2-s2.0-81555195286&doi=10.1155%2f2011%2f193691&partnerID=40&md5=c9ec8aa50e56815a72eabf619b99880f We derive a variable step of the implicit block methods based on the backward differentiation formulae (BDF) for solving stiff initial value problems (IVPs). A simplified strategy in controlling the step size is proposed with the aim of optimizing the performance in terms of precision and computation time. The numerical results obtained support the enhancement of the method proposed as compared to MATLAB's suite of ordinary differential equations (ODEs) solvers, namely, ode15s and ode23s. © 2011 S. A. M. Yatim et al. 15635147 English Article All Open Access; Hybrid Gold Open Access |
| author |
Yatim S.A.M.; Ibrahim Z.B.; Othman K.I.; Suleiman M.B. |
| spellingShingle |
Yatim S.A.M.; Ibrahim Z.B.; Othman K.I.; Suleiman M.B. A quantitative comparison of numerical method for solving stiff ordinary differential equations |
| author_facet |
Yatim S.A.M.; Ibrahim Z.B.; Othman K.I.; Suleiman M.B. |
| author_sort |
Yatim S.A.M.; Ibrahim Z.B.; Othman K.I.; Suleiman M.B. |
| title |
A quantitative comparison of numerical method for solving stiff ordinary differential equations |
| title_short |
A quantitative comparison of numerical method for solving stiff ordinary differential equations |
| title_full |
A quantitative comparison of numerical method for solving stiff ordinary differential equations |
| title_fullStr |
A quantitative comparison of numerical method for solving stiff ordinary differential equations |
| title_full_unstemmed |
A quantitative comparison of numerical method for solving stiff ordinary differential equations |
| title_sort |
A quantitative comparison of numerical method for solving stiff ordinary differential equations |
| publishDate |
2011 |
| container_title |
Mathematical Problems in Engineering |
| container_volume |
2011 |
| container_issue |
|
| doi_str_mv |
10.1155/2011/193691 |
| url |
https://www.scopus.com/inward/record.uri?eid=2-s2.0-81555195286&doi=10.1155%2f2011%2f193691&partnerID=40&md5=c9ec8aa50e56815a72eabf619b99880f |
| description |
We derive a variable step of the implicit block methods based on the backward differentiation formulae (BDF) for solving stiff initial value problems (IVPs). A simplified strategy in controlling the step size is proposed with the aim of optimizing the performance in terms of precision and computation time. The numerical results obtained support the enhancement of the method proposed as compared to MATLAB's suite of ordinary differential equations (ODEs) solvers, namely, ode15s and ode23s. © 2011 S. A. M. Yatim et al. |
| publisher |
|
| issn |
15635147 |
| language |
English |
| format |
Article |
| accesstype |
All Open Access; Hybrid Gold Open Access |
| record_format |
scopus |
| collection |
Scopus |
| _version_ |
1809678162240471040 |