TY - JOUR
ID - 2062
TI - Solution of nonlinear PDE ║u║=c over a general space curve
JO - Iranian Journal of Science and Technology (Sciences)
JA - IJSTS
LA - en
SN - 1028-6276
AU - Jahanandish, M.
AU - Banan, M. R.
AU - Jahanandish, M. H.
AD - Dept. of Civil Eng., School of Eng. Shiraz University, Shiraz, Iran
AD - Dept. of Civil Eng., Fars Science and Research University, Fars, Iran
Y1 - 2012
PY - 2012
VL - 36
IS - 2
SP - 115
EP - 124
KW - characteristics
KW - NPDE
KW - eikonal
KW - space curve
DO - 10.22099/ijsts.2012.2062
N2 - A method has been presented for finding the solution surface of the NPDE: u c , bounded by a general space curve. The method is based on the geometric characteristics of the surface, and is called the “Cone-Slot Method”. It has been shown that such a surface can be obtained by movement of a cone inside the slot formed by the boundary space curve. An algorithm has been suggested on the basis of mathematics of these considerations. In previous methods the boundary curve had to be level. They obtain the surface as an assembly of its contour curves. In this method however, the solution surface is obtained as an assembly of its characteristics. The boundary curve can also be a general unlevel skew space curve. The method requires no mesh for calculation and allows the area of the integral surface and underneath volume to be readily determined.
UR - http://ijsts.shirazu.ac.ir/article_2062.html
L1 - http://ijsts.shirazu.ac.ir/article_2062_d894cfab0b7889c97e99ca98837c9ff8.pdf
ER -