Title :
On difference approximation of biharmonic operator on a regular triangular grid
Author :
Howykowycz, Mariya ; Filc, R.
Author_Institution :
Nat. Univ. Lviv Polytech., Lviv, Ukraine
Abstract :
The general technique for constructing the bi-harmonic operator´s difference analog on a regular grid is being presented. The method guarantees preserving of invariance of the original differential operator with respect to the Cartesian co-ordinate system linear transformations what provides the uniqueness of the analog. The numerical value of 3-order analog has been obtained.
Keywords :
difference equations; function approximation; mathematical operators; 3-order analog; Cartesian coordinate system linear transformations; biharmonic operator difference analog; difference approximation; original differential operator; regular triangular grid; Biharmonic operator; Taylor´s polynomial; difference method; invariant approximation; regular grid;
Conference_Titel :
Modern Problems of Radio Engineering, Telecommunications and Computer Science, 2008 Proceedings of International Conference on
Conference_Location :
Lviv-Slavsko
Print_ISBN :
978-966-553-678-9
