1. JCPEE
  2. All Volumes and Issues
  3. Volume 2, Number 1, 2012
  4. Construction of invariant difference and discrete analogues of differential operators of high order discretization error

Construction of invariant difference and discrete analogues of differential operators of high order discretization error

JCPEE.
2012;
Volume 2, Number 1
: pp. 37-40
Authors:
  1. Mariya Howykowycz
1
Lviv Polytechnic National University; Ohio Export Corporation

The paper offers the algorithm of construction of difference and discrete analogues of differential operators on the basis of invariant approximations methodology. The reciprocal Taylor’s matrix of the 6-th degree has been calculated in exact figures what allows us to construct difference and discrete analogues of high order discretization errors.

 

Invariant approximation
difference analogue
discrete analogue
discretization error.
  1. Filc R. Discrete analogue of Hamilton’s operator // Mathematical Methods and Physical-Mathematical Fields. 1986. – vol. 24.- P. 20-25.
  2. Howykowycz M. Filc R. On Difference Approximation of Biharmonic Operator on a Regular Grod // Proceedings of TCSET 2008. – 2008. – P. 63-66.
  3. Filc R., Howykowycz M. General Method of Conctructing the Difference Analogues of Biharmonic Operator on Irregular Grids // Physical-Chemical Mechanics of Materials. 2000. # 2. – P. 60-65.