@Article{cmc.2020.08875,
AUTHOR = {Wafaa Alharbi, Abdulrahman Aljohani, Essam El-Zahar, Abdelhalim Ebaid},
TITLE = {Exact Solution of Non-Newtonian Blood Flow with Nanoparticles  through Porous Arteries: A Comparative Study},
JOURNAL = {Computers, Materials \& Continua},
VOLUME = {63},
YEAR = {2020},
NUMBER = {3},
PAGES = {1143--1157},
URL = {http://www.techscience.com/cmc/v63n3/38867},
ISSN = {1546-2226},
ABSTRACT = {In this paper, the mathematical model describing the third-grade nonNewtonian blood flow suspended with nanoparticles through porous arteries is exactly 
solved. The present physical model was solved in the research literature via the optimal 
homotopy analysis method and the collocation method, where the obtained solution was
compared with the numerical fourth-order Runge-Kutta solution. However, the present 
paper only introduces a new approach to obtain the exact solution of the concerned 
system and implements such exact solution as a reference to validate the published 
approximate solutions. Several remarks on the previously published results are observed 
and discussed in detail through tables and graphs. In view of the present calculations, the 
obtained results in the literature by Ghasemi et al. [Ghasemi, Hatami, Sarokolaie et al. 
(2015)] may need revisions. Furthermore, it is found that the obtained approximate 
results in the relevant literature agree with the current exact ones up to only two or three 
decimal places, at most. Hence, the present approach along with the obtained results 
reflexes the effectiveness and efficiency of our analysis when compared with the 
corresponding study in the literature. Moreover, the present results can be directly 
invested for similar future problems of the same constructions.},
DOI = {10.32604/cmc.2020.08875}
}