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Tasks in Computations Shao-Yuan Huang and Shin-Hwa Wang |
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Introduction |
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These
works contain computational algorithms and results which support the paper
" On S-shaped
bifurcation curves for a two-point boundary value problem arising in a theory
of thermal explosion" by Shao-Yuan Huang, Shin-Hwa
Wang. We divide this project into several tasks explaining the detail of
these computations that appear in Appendix. In each task, we give a code and
output (not all) to illustrate these complex computations. Readers can run
these codes by Maple 16 to check
the computations. These
computations which are carried out by computer are based on symbolic and
exact integer computations. However, in the sake of convenience, these
outputs are displayed in numerical form. Please click the links View the code, Download
the code and View the
detail (If exists) to view and/or download the information. |
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In
Step1 of proof of Lemma 4.2 |
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Task
1 For |
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In Step1 of proof of Lemma 4.2 |
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Task
2 For |
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In
Step2 of proof of Lemma 4.2 |
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Task
3 For |
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In Part (i) of proof of Lemma 4.3 |
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Task
4 For |
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In Part (i) of proof of Lemma 4.3 |
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Task
5 For |
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In Part (ii) of proof of Lemma 4.3 |
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Task
6 For |
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