TY  - EJOU
AU  - Chu, Yuming 
AU  - Rashid, Saima 
AU  - Kubra, Khadija Tul 
AU  - Inc, Mustafa 
AU  - Hammouch, Zakia 
AU  - Osman, M. S. 

TI  - Analysis and Numerical Computations of the Multi-Dimensional, Time-Fractional Model of Navier-Stokes Equation with a New Integral Transformation
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2023
VL  - 136
IS  - 3
SN  - 1526-1506

AB  - The analytical solution of the multi-dimensional, time-fractional model of Navier-Stokes equation using the triple and quadruple Elzaki transform decomposition method is presented in this article. The aforesaid model is analyzed by employing Caputo fractional derivative. We deliberated three stimulating examples that correspond to the triple and quadruple Elzaki transform decomposition methods, respectively. The findings illustrate that the established approaches are extremely helpful in obtaining exact and approximate solutions to the problems. The exact and estimated solutions are delineated via numerical simulation. The proposed analysis indicates that the projected configuration is extremely meticulous, highly efficient, and precise in understanding the behavior of complex evolutionary problems of both fractional and integer order that classify affiliated scientific fields and technology.
KW  - Caputo derivative; Elzaki transform; time-fractional Navier-Stokes equation; decomposition method

DO  - 10.32604/cmes.2023.025470