A new fifth order implicit block method for solving first order stiff ordinary differential equations
A new implicit block backward differentiation formula that computes 3–points simultaneously is derived. The method is of order 5 and solves system of stiff ordinary differential equations (ODEs). The stability analysis indicates that the method is A–stable. Numerical results show that the method ou...
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Main Authors: | , , , , , |
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Format: | Article |
Language: | English |
Published: |
Institute for Mathematical Research, Universiti Putra Malaysia
2014
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Online Access: | http://psasir.upm.edu.my/id/eprint/39052/1/39052.pdf http://psasir.upm.edu.my/id/eprint/39052/ http://einspem.upm.edu.my/journal/fullpaper/vol8soct/5.%20hamisu%20musa.pdf |
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Summary: | A new implicit block backward differentiation formula that computes 3–points simultaneously is derived. The method is of order 5 and solves system of stiff ordinary differential equations (ODEs). The stability analysis indicates that the
method is A–stable. Numerical results show that the method outperformed some existing block and non-block methodsfor solving stiff ODEs. |
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