A Numerical Algorithm for Solving Stiff Ordinary Differential Equations
An advanced method using block backward differentiation formula (BBDF) is introduced with efficient strategy in choosing the step size and order of the method. Variable step and variable order block backward differentiation formula (VSVO-BBDF) approach is applied throughout the numerical computati...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Hindawi Publishing Corporation
2012
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| Subjects: | |
| Online Access: | http://eprints.usm.my/38091/1/A_Numerical_Algorithm_for_Solving_Stiff_Ordinary_Differential_Equations.pdf |
| _version_ | 1825833785237700608 |
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| author | Yatim, S. A. M. Ibrahim, Z. B. Othman, K. I. Suleiman, M. B. |
| author_facet | Yatim, S. A. M. Ibrahim, Z. B. Othman, K. I. Suleiman, M. B. |
| author_sort | Yatim, S. A. M. |
| collection | USM |
| description | An advanced method using block backward differentiation formula (BBDF) is introduced with efficient strategy in choosing the step
size and order of the method. Variable step and variable order block backward differentiation formula (VSVO-BBDF) approach is
applied throughout the numerical computation.The stability regions of the VSVO-BBDFmethod are investigated and presented in
distinct graphs.The improved performances in terms of accuracy and computation time are presented in the numerical results with
different sets of test problems. Comparisons are made between the proposed method and MATLAB’s suite of ordinary differential
equations (ODEs) solvers, namely, ode15s and ode23s. |
| first_indexed | 2024-03-06T15:12:59Z |
| format | Article |
| id | usm.eprints-38091 |
| institution | Universiti Sains Malaysia |
| language | English |
| last_indexed | 2024-03-06T15:12:59Z |
| publishDate | 2012 |
| publisher | Hindawi Publishing Corporation |
| record_format | dspace |
| spelling | usm.eprints-380912017-12-22T04:06:23Z http://eprints.usm.my/38091/ A Numerical Algorithm for Solving Stiff Ordinary Differential Equations Yatim, S. A. M. Ibrahim, Z. B. Othman, K. I. Suleiman, M. B. LC5800-5808 Distance education. An advanced method using block backward differentiation formula (BBDF) is introduced with efficient strategy in choosing the step size and order of the method. Variable step and variable order block backward differentiation formula (VSVO-BBDF) approach is applied throughout the numerical computation.The stability regions of the VSVO-BBDFmethod are investigated and presented in distinct graphs.The improved performances in terms of accuracy and computation time are presented in the numerical results with different sets of test problems. Comparisons are made between the proposed method and MATLAB’s suite of ordinary differential equations (ODEs) solvers, namely, ode15s and ode23s. Hindawi Publishing Corporation 2012 Article PeerReviewed application/pdf en http://eprints.usm.my/38091/1/A_Numerical_Algorithm_for_Solving_Stiff_Ordinary_Differential_Equations.pdf Yatim, S. A. M. and Ibrahim, Z. B. and Othman, K. I. and Suleiman, M. B. (2012) A Numerical Algorithm for Solving Stiff Ordinary Differential Equations. Mathematical Problems in Engineering, 2013 (989381). pp. 1-11. ISSN 1024-123X http://dx.doi.org/10.1155/2013/989381 |
| spellingShingle | LC5800-5808 Distance education. Yatim, S. A. M. Ibrahim, Z. B. Othman, K. I. Suleiman, M. B. A Numerical Algorithm for Solving Stiff Ordinary Differential Equations |
| title | A Numerical Algorithm for Solving Stiff Ordinary Differential Equations |
| title_full | A Numerical Algorithm for Solving Stiff Ordinary Differential Equations |
| title_fullStr | A Numerical Algorithm for Solving Stiff Ordinary Differential Equations |
| title_full_unstemmed | A Numerical Algorithm for Solving Stiff Ordinary Differential Equations |
| title_short | A Numerical Algorithm for Solving Stiff Ordinary Differential Equations |
| title_sort | numerical algorithm for solving stiff ordinary differential equations |
| topic | LC5800-5808 Distance education. |
| url | http://eprints.usm.my/38091/1/A_Numerical_Algorithm_for_Solving_Stiff_Ordinary_Differential_Equations.pdf |
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