Numerical solution for stiff initial value problems using 2-point block multistep method
This paper focuses on the derivation of an improved 2-point Block Backward Differentiation Formula of order five (I2BBDF(5)) for solving stiff first order Ordinary Differential Equations (ODEs). The I2BBDF(5) method is derived by using Taylor's series expansion...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
IOP Publishing
2018
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| Online Access: | http://psasir.upm.edu.my/id/eprint/75100/1/Numerical_solution_for_stiff_initial_value_problem.pdf |
| _version_ | 1796979797348319232 |
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| author | Mohamad Noor, N. Ibrahim, Zarina Bibi Ismail, Fudziah |
| author_facet | Mohamad Noor, N. Ibrahim, Zarina Bibi Ismail, Fudziah |
| author_sort | Mohamad Noor, N. |
| collection | UPM |
| description | This paper focuses on the derivation of an improved 2-point Block Backward Differentiation Formula of order five (I2BBDF(5)) for solving stiff first order Ordinary Differential Equations (ODEs). The I2BBDF(5) method is derived by using Taylor's series expansion to obtain the coefficients of the formula. To verify the efficiency of the I2BBDF(5) method, stiff problems from the literature are tested and compared with the existing solver for stiff ODEs. From the numerical results, we conclude that the I2BBDF(5) method can be an alternative solver for solving stiff ODEs |
| first_indexed | 2024-03-06T10:14:11Z |
| format | Article |
| id | upm.eprints-75100 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T10:14:11Z |
| publishDate | 2018 |
| publisher | IOP Publishing |
| record_format | dspace |
| spelling | upm.eprints-751002020-04-20T16:32:32Z http://psasir.upm.edu.my/id/eprint/75100/ Numerical solution for stiff initial value problems using 2-point block multistep method Mohamad Noor, N. Ibrahim, Zarina Bibi Ismail, Fudziah This paper focuses on the derivation of an improved 2-point Block Backward Differentiation Formula of order five (I2BBDF(5)) for solving stiff first order Ordinary Differential Equations (ODEs). The I2BBDF(5) method is derived by using Taylor's series expansion to obtain the coefficients of the formula. To verify the efficiency of the I2BBDF(5) method, stiff problems from the literature are tested and compared with the existing solver for stiff ODEs. From the numerical results, we conclude that the I2BBDF(5) method can be an alternative solver for solving stiff ODEs IOP Publishing 2018 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/75100/1/Numerical_solution_for_stiff_initial_value_problem.pdf Mohamad Noor, N. and Ibrahim, Zarina Bibi and Ismail, Fudziah (2018) Numerical solution for stiff initial value problems using 2-point block multistep method. Journal of Physics: Conference Series, 1132 (1). pp. 1-9. ISSN 1742-6588; ESSN: 1742-6596 10.1088/1742-6596/1132/1/012017 |
| spellingShingle | Mohamad Noor, N. Ibrahim, Zarina Bibi Ismail, Fudziah Numerical solution for stiff initial value problems using 2-point block multistep method |
| title | Numerical solution for stiff initial value problems using 2-point block multistep method |
| title_full | Numerical solution for stiff initial value problems using 2-point block multistep method |
| title_fullStr | Numerical solution for stiff initial value problems using 2-point block multistep method |
| title_full_unstemmed | Numerical solution for stiff initial value problems using 2-point block multistep method |
| title_short | Numerical solution for stiff initial value problems using 2-point block multistep method |
| title_sort | numerical solution for stiff initial value problems using 2 point block multistep method |
| url | http://psasir.upm.edu.my/id/eprint/75100/1/Numerical_solution_for_stiff_initial_value_problem.pdf |
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