TY - JOUR
T1 - A Comparative Study of the Fractional-Order Belousov–Zhabotinsky System
AU - El-Tantawy, Samir A.
AU - Shah, Rasool
AU - Alrowaily, Albandari W.
AU - Shah, Nehad Ali
AU - Chung, Jae Dong
AU - Ismaeel, Sherif M.E.
N1 - Publisher Copyright:
© 2023 by the authors.
PY - 2023/4
Y1 - 2023/4
N2 - In this article, we present a modified strategy that combines the residual power series method with the Laplace transformation and a novel iterative technique for generating a series solution to the fractional nonlinear Belousov–Zhabotinsky (BZ) system. The proposed techniques use the Laurent series in their development. The new procedures’ advantages include the accuracy and speed in obtaining exact/approximate solutions. The suggested approach examines the fractional nonlinear BZ system that describes flow motion in a pipe.
AB - In this article, we present a modified strategy that combines the residual power series method with the Laplace transformation and a novel iterative technique for generating a series solution to the fractional nonlinear Belousov–Zhabotinsky (BZ) system. The proposed techniques use the Laurent series in their development. The new procedures’ advantages include the accuracy and speed in obtaining exact/approximate solutions. The suggested approach examines the fractional nonlinear BZ system that describes flow motion in a pipe.
KW - Caputo operator
KW - fractional-order Belousov–Zhabotinsky system
KW - Laplace transformation
KW - new iterative method
KW - residual power series
UR - http://www.scopus.com/inward/record.url?scp=85152800698&partnerID=8YFLogxK
U2 - 10.3390/math11071751
DO - 10.3390/math11071751
M3 - Article
AN - SCOPUS:85152800698
SN - 2227-7390
VL - 11
JO - Mathematics
JF - Mathematics
IS - 7
M1 - 1751
ER -