Foundation and methodologies in computer-aided diagnosis systems for breast cancer detection
Objectives: A modified variable step block backward differentiation formulae (MVS-BBDF) method is introduced in this paper as another alternative way for solving ordinary differential equations (ODEs). Methods: We demonstrated the detailed formulation of the corrector formulae for MVS-BBDF method wh...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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IEXCLI Journal
2017
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| Online Access: | http://psasir.upm.edu.my/id/eprint/61915/ http://psasir.upm.edu.my/id/eprint/61915/1/Foundation%20and%20methodologies%20in%20computer-aided%20diagnosis%20systems%20for%20breast%20cancer%20detection.pdf |
| _version_ | 1848854516770799616 |
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| author | Jalalian, Afsaneh Mashohor, Syamsiah Mahmud, Rozi Karasfi, Babak Saripan, M. Iqbal Ramli, Abdul Rahman |
| author_facet | Jalalian, Afsaneh Mashohor, Syamsiah Mahmud, Rozi Karasfi, Babak Saripan, M. Iqbal Ramli, Abdul Rahman |
| author_sort | Jalalian, Afsaneh |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | Objectives: A modified variable step block backward differentiation formulae (MVS-BBDF) method is introduced in this paper as another alternative way for solving ordinary differential equations (ODEs). Methods: We demonstrated the detailed formulation of the corrector formulae for MVS-BBDF method which is carried out using Maple software. Then, to validate the performance of the introduced method, we applied it to stiff ODEs problem. Findings: The performance of the method in terms of maximum error and number of total steps taken during the computation are compared with the performance of ode15s and ode23s solver in MATLAB. Consequently, the efficiency of MVS-BBDF shows that it is able to outperform both Matlab’s ODE solver since it produces better accuracy and manages to reduce the number of total step. |
| first_indexed | 2025-11-15T11:11:07Z |
| format | Article |
| id | upm-61915 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T11:11:07Z |
| publishDate | 2017 |
| publisher | IEXCLI Journal |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-619152019-02-27T04:28:01Z http://psasir.upm.edu.my/id/eprint/61915/ Foundation and methodologies in computer-aided diagnosis systems for breast cancer detection Jalalian, Afsaneh Mashohor, Syamsiah Mahmud, Rozi Karasfi, Babak Saripan, M. Iqbal Ramli, Abdul Rahman Objectives: A modified variable step block backward differentiation formulae (MVS-BBDF) method is introduced in this paper as another alternative way for solving ordinary differential equations (ODEs). Methods: We demonstrated the detailed formulation of the corrector formulae for MVS-BBDF method which is carried out using Maple software. Then, to validate the performance of the introduced method, we applied it to stiff ODEs problem. Findings: The performance of the method in terms of maximum error and number of total steps taken during the computation are compared with the performance of ode15s and ode23s solver in MATLAB. Consequently, the efficiency of MVS-BBDF shows that it is able to outperform both Matlab’s ODE solver since it produces better accuracy and manages to reduce the number of total step. IEXCLI Journal 2017 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/61915/1/Foundation%20and%20methodologies%20in%20computer-aided%20diagnosis%20systems%20for%20breast%20cancer%20detection.pdf Jalalian, Afsaneh and Mashohor, Syamsiah and Mahmud, Rozi and Karasfi, Babak and Saripan, M. Iqbal and Ramli, Abdul Rahman (2017) Foundation and methodologies in computer-aided diagnosis systems for breast cancer detection. EXCLI Journal, 16. 113 - 137. ISSN 1611-2156 http://www.excli.de/volume16.php |
| spellingShingle | Jalalian, Afsaneh Mashohor, Syamsiah Mahmud, Rozi Karasfi, Babak Saripan, M. Iqbal Ramli, Abdul Rahman Foundation and methodologies in computer-aided diagnosis systems for breast cancer detection |
| title | Foundation and methodologies in computer-aided diagnosis systems for breast cancer detection |
| title_full | Foundation and methodologies in computer-aided diagnosis systems for breast cancer detection |
| title_fullStr | Foundation and methodologies in computer-aided diagnosis systems for breast cancer detection |
| title_full_unstemmed | Foundation and methodologies in computer-aided diagnosis systems for breast cancer detection |
| title_short | Foundation and methodologies in computer-aided diagnosis systems for breast cancer detection |
| title_sort | foundation and methodologies in computer-aided diagnosis systems for breast cancer detection |
| url | http://psasir.upm.edu.my/id/eprint/61915/ http://psasir.upm.edu.my/id/eprint/61915/ http://psasir.upm.edu.my/id/eprint/61915/1/Foundation%20and%20methodologies%20in%20computer-aided%20diagnosis%20systems%20for%20breast%20cancer%20detection.pdf |