Open AccessStudy of Navier-Stokes equation by using Iterative Laplace Transform Method (ILTM) involving Caputo- Fabrizio fractional operator
Author(s) -
Lokesh Kumar Yadav,
Garima Agarwal,
Manjeet Kumari
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1706/1/012044
Subject(s) - mathematics , laplace transform , laplace transform applied to differential equations , two sided laplace transform , mathematical analysis , iterative method , laplace's equation , inverse laplace transform , operator (biology) , convergent series , green's function for the three variable laplace equation , mellin transform , differential equation , power series , fourier transform , fractional fourier transform , mathematical optimization , fourier analysis , biochemistry , chemistry , repressor , transcription factor , gene
This article arrangement with N-S equation containing the Caputo-Fabrizio differential operator of fractional order. The Iterative Laplace Transform Method (ILTM) has been applied to found numerical solution of time-fractional N-S equation in a tube with unsteady fluid flow in the Caputo-Fabrizio sense. The ILTM is an elegant coupling of transform of the Laplace and new Iterative method (NIM). This scheme provides numerical solution in the terms of power series with easily computable terms. It is observed that the solutions of N-S equations obtained by the ILTM rapidly convergent to exact solutions.