(2018). MOTION OF CURVES USING QUASI FRAME. test, 47(2), 74-86. doi: 10.21608/aunj.2018.221220
. "MOTION OF CURVES USING QUASI FRAME". test, 47, 2, 2018, 74-86. doi: 10.21608/aunj.2018.221220
(2018). 'MOTION OF CURVES USING QUASI FRAME', test, 47(2), pp. 74-86. doi: 10.21608/aunj.2018.221220
MOTION OF CURVES USING QUASI FRAME. test, 2018; 47(2): 74-86. doi: 10.21608/aunj.2018.221220

MOTION OF CURVES USING QUASI FRAME

Assiut University Journal of Multidisciplinary Scientific Research
Volume 47, Issue 2, December 2018, Pages 74-86    PDF (586.31 K)
Document Type: Novel Research Articles
DOI: 10.21608/aunj.2018.221220
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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