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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Main Authors: | , , , |
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Format: | Article |
Language: | English |
Published: |
Faculty of Science, Chiang Mai University
2016
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Online Access: | http://psasir.upm.edu.my/id/eprint/55533/1/Direct%20fifth%20order%20block%20backward%20differentiation%20formulas%20for%20solving%20second%20order%20.pdf http://psasir.upm.edu.my/id/eprint/55533/ http://epg.science.cmu.ac.th/ejournal/ |
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Summary: | 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. |
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