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 function’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://journals.pan.pl/Content/122628/PDF/art16_corr.pdf L2 - http://journals.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://journals.pan.pl/dlibra/publication/edition/122628 T2 - Archives of Electrical Engineering ER -