TY - GEN
T1 - Finite difference approximations of first order derivatives of complex-valued functions
AU - Ashyralyyev, Charyyar
AU - Öztürk, Beyza
N1 - Publisher Copyright:
© 2018 Author(s).
PY - 2018/8/6
Y1 - 2018/8/6
N2 - In this study, we generalize the well-known finite difference method to compute derivatives of a real-valued function to approximate complex derivatives wz and wz for complex-valued function w. Exploring different combinations of terms, we derive several approximations to compute the first order derivatives of complex-valued function. The first, second, third and fourth order of accuracy finite differences to calculate derivatives are studied. Error analysis in test examples are carried out by using Matlab program.
AB - In this study, we generalize the well-known finite difference method to compute derivatives of a real-valued function to approximate complex derivatives wz and wz for complex-valued function w. Exploring different combinations of terms, we derive several approximations to compute the first order derivatives of complex-valued function. The first, second, third and fourth order of accuracy finite differences to calculate derivatives are studied. Error analysis in test examples are carried out by using Matlab program.
UR - https://www.scopus.com/pages/publications/85052003792
U2 - 10.1063/1.5049048
DO - 10.1063/1.5049048
M3 - Conference contribution
AN - SCOPUS:85052003792
SN - 9780735417137
T3 - AIP Conference Proceedings
BT - International Conference on Analysis and Applied Mathematics, ICAAM 2018
A2 - Ashyralyev, Allaberen
A2 - Sadybekov, Makhmud
A2 - Lukashov, Alexey
A2 - Ashyralyev, Allaberen
PB - American Institute of Physics Inc.
T2 - 4th International Conference on Analysis and Applied Mathematics, ICAAM 2018
Y2 - 6 September 2018 through 9 September 2018
ER -