MOTION OF CURVES USING QUASI FRAME | ||||
| Assiut University Journal of Multidisciplinary Scientific Research | ||||
| Volume 47, Issue 2, December 2018, Page 74-86 PDF (586.31 K) | ||||
| Document Type: Novel Research Articles | ||||
| DOI: 10.21608/aunj.2018.221220 | ||||
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| Abstract | ||||
| In this paper, evolution of space curves using quasi frame are considered. We derive a pair of coupled partialdifferential equations that governing the time evolution for the quasi curvatures of the evolving curve. Exact solutions of these equations are obtained. Also we have reconstructed the evolving curve from their quasi curvatures via the numerical integration of quasi Serret-Frenet equations. | ||||
| Keywords | ||||
| Quasi frame; Quasi curvature; Frenet frame; Time evolution equation; Vector field | ||||
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