Derivation of BBDF-α for solving ordinary differential equation
In this paper, the block backward differentiation formulas with parameter α (BBDF-α) of order three is derived in a constant step size for solving system of first order ordinary differential equations (ODEs). The coefficients of formula are generated using Maple software package. The influence of pa...
| Main Authors: | , |
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| Format: | Conference or Workshop Item |
| Language: | English |
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AIP Publishing
2015
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57372/1/Derivation%20of%20BBDF-%CE%B1%20for%20solving%20ordinary%20differential%20equation.pdf |
| _version_ | 1825931599484551168 |
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| author | Mohd Zawawi, Iskandar Shah Ibrahim, Zarina Bibi |
| author_facet | Mohd Zawawi, Iskandar Shah Ibrahim, Zarina Bibi |
| author_sort | Mohd Zawawi, Iskandar Shah |
| collection | UPM |
| description | In this paper, the block backward differentiation formulas with parameter α (BBDF-α) of order three is derived in a constant step size for solving system of first order ordinary differential equations (ODEs). The coefficients of formula are generated using Maple software package. The influence of parameter α is considered to produce better approximate solutions at two points simultaneously. Numerical experiment is included to show the capability of the derived method in solving ODEs. Numerical results indicate that the BBDF-α outperforms the existing methods in term of accuracy. |
| first_indexed | 2024-03-06T09:29:11Z |
| format | Conference or Workshop Item |
| id | upm.eprints-57372 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T09:29:11Z |
| publishDate | 2015 |
| publisher | AIP Publishing |
| record_format | dspace |
| spelling | upm.eprints-573722017-09-27T06:37:14Z http://psasir.upm.edu.my/id/eprint/57372/ Derivation of BBDF-α for solving ordinary differential equation Mohd Zawawi, Iskandar Shah Ibrahim, Zarina Bibi In this paper, the block backward differentiation formulas with parameter α (BBDF-α) of order three is derived in a constant step size for solving system of first order ordinary differential equations (ODEs). The coefficients of formula are generated using Maple software package. The influence of parameter α is considered to produce better approximate solutions at two points simultaneously. Numerical experiment is included to show the capability of the derived method in solving ODEs. Numerical results indicate that the BBDF-α outperforms the existing methods in term of accuracy. AIP Publishing 2015 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57372/1/Derivation%20of%20BBDF-%CE%B1%20for%20solving%20ordinary%20differential%20equation.pdf Mohd Zawawi, Iskandar Shah and Ibrahim, Zarina Bibi (2015) Derivation of BBDF-α for solving ordinary differential equation. In: 23rd Malaysian National Symposium of Mathematical Sciences (SKSM23), 24-26 Nov. 2015, Johor Bahru, Malaysia. (pp. 1-8). 10.1063/1.4954531 |
| spellingShingle | Mohd Zawawi, Iskandar Shah Ibrahim, Zarina Bibi Derivation of BBDF-α for solving ordinary differential equation |
| title | Derivation of BBDF-α for solving ordinary differential equation |
| title_full | Derivation of BBDF-α for solving ordinary differential equation |
| title_fullStr | Derivation of BBDF-α for solving ordinary differential equation |
| title_full_unstemmed | Derivation of BBDF-α for solving ordinary differential equation |
| title_short | Derivation of BBDF-α for solving ordinary differential equation |
| title_sort | derivation of bbdf α for solving ordinary differential equation |
| url | http://psasir.upm.edu.my/id/eprint/57372/1/Derivation%20of%20BBDF-%CE%B1%20for%20solving%20ordinary%20differential%20equation.pdf |
| work_keys_str_mv | AT mohdzawawiiskandarshah derivationofbbdfaforsolvingordinarydifferentialequation AT ibrahimzarinabibi derivationofbbdfaforsolvingordinarydifferentialequation |