TY - JOUR
N2 - This paper presents novel discrete differential operators for periodic functions of one- and two-variables, which relate the values of the derivatives to the values of the function itself for a set of arbitrarily chosen points over the functionâ€™s area. It is very characteristic, that the values of the derivatives at each point depend on the function values at all points in that area. Such operators allow one to easily create finite-difference equations for boundaryvalue problems. The operators are addressed especially to nonlinear differential equations.
L1 - http://www.czasopisma.pan.pl/Content/122628/PDF-MASTER/art16_corr.pdf
L2 - http://www.czasopisma.pan.pl/Content/122628
PY - 2022
IS - No 1
EP - 275
DO - 10.24425/aee.2022.140209
KW - arbitrary meshes
KW - finite-difference operators
KW - partial finite difference operators
KW - periodic functions
KW - two-variable periodic functions
A1 - Sobczyk, Tadeusz Jan
PB - Polish Academy of Sciences
VL - vol. 71
DA - 2022.03.11
T1 - 1D and 2D finite-difference operators for periodic functions on arbitrary mesh
SP - 265
UR - http://www.czasopisma.pan.pl/dlibra/publication/edition/122628
T2 - Archives of Electrical Engineering
ER -