Implicit r-point block backward differentiation formula for solving first-order stiff ODEs
In this paper, we consider an implicit r-point block backward differentiation formula (BBDF) methods for solving ordinary differential equations (ODEs). A block of r new values at each step are derived. A performance comparison of the r-point block methods is compared with the existing backward diff...
| Published in: | Applied Mathematics and Computation |
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| Format: | Article |
| Language: | English |
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2007
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| Online Access: | https://www.scopus.com/inward/record.uri?eid=2-s2.0-33947243944&doi=10.1016%2fj.amc.2006.07.116&partnerID=40&md5=cc3c31ba358934a0cfa6bf9403c3e9fa |
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Ibrahim Z.B.; Othman K.I.; Suleiman M. |
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Ibrahim Z.B.; Othman K.I.; Suleiman M. 2-s2.0-33947243944 Implicit r-point block backward differentiation formula for solving first-order stiff ODEs 2007 Applied Mathematics and Computation 186 1 10.1016/j.amc.2006.07.116 https://www.scopus.com/inward/record.uri?eid=2-s2.0-33947243944&doi=10.1016%2fj.amc.2006.07.116&partnerID=40&md5=cc3c31ba358934a0cfa6bf9403c3e9fa In this paper, we consider an implicit r-point block backward differentiation formula (BBDF) methods for solving ordinary differential equations (ODEs). A block of r new values at each step are derived. A performance comparison of the r-point block methods is compared with the existing backward differentiation formula (BDF) method. Numerical results indicate that the r-point BBDF method is more efficient in improving CPU time and reduce the number of integration step. © 2006. 963003 English Article |
| author |
2-s2.0-33947243944 |
| spellingShingle |
2-s2.0-33947243944 Implicit r-point block backward differentiation formula for solving first-order stiff ODEs |
| author_facet |
2-s2.0-33947243944 |
| author_sort |
2-s2.0-33947243944 |
| title |
Implicit r-point block backward differentiation formula for solving first-order stiff ODEs |
| title_short |
Implicit r-point block backward differentiation formula for solving first-order stiff ODEs |
| title_full |
Implicit r-point block backward differentiation formula for solving first-order stiff ODEs |
| title_fullStr |
Implicit r-point block backward differentiation formula for solving first-order stiff ODEs |
| title_full_unstemmed |
Implicit r-point block backward differentiation formula for solving first-order stiff ODEs |
| title_sort |
Implicit r-point block backward differentiation formula for solving first-order stiff ODEs |
| publishDate |
2007 |
| container_title |
Applied Mathematics and Computation |
| container_volume |
186 |
| container_issue |
1 |
| doi_str_mv |
10.1016/j.amc.2006.07.116 |
| url |
https://www.scopus.com/inward/record.uri?eid=2-s2.0-33947243944&doi=10.1016%2fj.amc.2006.07.116&partnerID=40&md5=cc3c31ba358934a0cfa6bf9403c3e9fa |
| description |
In this paper, we consider an implicit r-point block backward differentiation formula (BBDF) methods for solving ordinary differential equations (ODEs). A block of r new values at each step are derived. A performance comparison of the r-point block methods is compared with the existing backward differentiation formula (BDF) method. Numerical results indicate that the r-point BBDF method is more efficient in improving CPU time and reduce the number of integration step. © 2006. |
| publisher |
|
| issn |
963003 |
| language |
English |
| format |
Article |
| accesstype |
|
| record_format |
scopus |
| collection |
Scopus |
| _version_ |
1828987884495962112 |