Direct Fifth Order Block Backward Differentiation Formulas for Solving Second Order Ordinary Differential Equations
In this paper, a new fifth order Direct Block Backward Differentiation Formula (5-DBBDF) for solving second order stiff ordinary differential equations (ODEs) is presented. Five backwards steps are used to generate the coefficients of the 5-DBBDF. This method approximates the solutions at two points...
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Science Faculty of Chiang Mai University
2019
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th-cmuir.6653943832-638112019-05-07T09:57:20Z Direct Fifth Order Block Backward Differentiation Formulas for Solving Second Order Ordinary Differential Equations Nooraini Zainuddin Zarina Bibi Ibrahim Khairil Iskandar Othman Mohamed Suleiman In this paper, a new fifth order Direct Block Backward Differentiation Formula (5-DBBDF) for solving second order stiff ordinary differential equations (ODEs) is presented. Five backwards steps are used to generate the coefficients of the 5-DBBDF. This method approximates the solutions at two points concurrently by using fixed step size and solved the second order ODEs directly without reducing the ODEs to a system of first order. Numerical results on some standard problems found in the literature are presented to validate the accuracy of the proposed method. 2019-05-07T09:57:20Z 2019-05-07T09:57:20Z 2016 บทความวารสาร 0125-2526 http://it.science.cmu.ac.th/ejournal/dl.php?journal_id=7375 http://cmuir.cmu.ac.th/jspui/handle/6653943832/63811 Eng Science Faculty of Chiang Mai University |
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English |
| description |
In this paper, a new fifth order Direct Block Backward Differentiation Formula (5-DBBDF) for solving second order stiff ordinary differential equations (ODEs) is presented. Five backwards steps are used to generate the coefficients of the 5-DBBDF. This method approximates the solutions at two points concurrently by using fixed step size and solved the second order ODEs directly without reducing the ODEs to a system of first order. Numerical results on some standard problems found in the literature are presented to validate the accuracy of the proposed method. |
| format |
บทความวารสาร |
| author |
Nooraini Zainuddin Zarina Bibi Ibrahim Khairil Iskandar Othman Mohamed Suleiman |
| spellingShingle |
Nooraini Zainuddin Zarina Bibi Ibrahim Khairil Iskandar Othman Mohamed Suleiman Direct Fifth Order Block Backward Differentiation Formulas for Solving Second Order Ordinary Differential Equations |
| author_facet |
Nooraini Zainuddin Zarina Bibi Ibrahim Khairil Iskandar Othman Mohamed Suleiman |
| author_sort |
Nooraini Zainuddin |
| title |
Direct Fifth Order Block Backward Differentiation Formulas for Solving Second Order Ordinary Differential Equations |
| title_short |
Direct Fifth Order Block Backward Differentiation Formulas for Solving Second Order Ordinary Differential Equations |
| title_full |
Direct Fifth Order Block Backward Differentiation Formulas for Solving Second Order Ordinary Differential Equations |
| title_fullStr |
Direct Fifth Order Block Backward Differentiation Formulas for Solving Second Order Ordinary Differential Equations |
| title_full_unstemmed |
Direct Fifth Order Block Backward Differentiation Formulas for Solving Second Order Ordinary Differential Equations |
| title_sort |
direct fifth order block backward differentiation formulas for solving second order ordinary differential equations |
| publisher |
Science Faculty of Chiang Mai University |
| publishDate |
2019 |
| url |
http://it.science.cmu.ac.th/ejournal/dl.php?journal_id=7375 http://cmuir.cmu.ac.th/jspui/handle/6653943832/63811 |
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1681425964730417152 |