Numerical Solution of Time Fractional Navier-Stokes Equation by Discrete Adomian decomposition method

In this paper we find the solution of time fractional discrete Navier-Stokes equation using Adomian decomposition method. Here we discretize the space domain. The graphical representation of solution given by using Matlab software, and it compared with exact solution for alpha = 1.

Bibliographic Details
Main Author: Birajdar Gunvant A.
Format: Article
Language:English
Published: De Gruyter 2014-03-01
Series:Nonlinear Engineering
Subjects:
Online Access:https://doi.org/10.1515/nleng-2012-0004
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author Birajdar Gunvant A.
author_facet Birajdar Gunvant A.
author_sort Birajdar Gunvant A.
collection DOAJ
description In this paper we find the solution of time fractional discrete Navier-Stokes equation using Adomian decomposition method. Here we discretize the space domain. The graphical representation of solution given by using Matlab software, and it compared with exact solution for alpha = 1.
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spelling doaj.art-460abbbf9ea74cf69fdb93482512a44c2022-12-21T21:28:07ZengDe GruyterNonlinear Engineering2192-80102192-80292014-03-0131212610.1515/nleng-2012-0004nleng-2012-0004Numerical Solution of Time Fractional Navier-Stokes Equation by Discrete Adomian decomposition methodBirajdar Gunvant A.0Tata Institute of Social Sciences Tuljapur Campus, Tuljapur. 413601 (M.S)IndiaIn this paper we find the solution of time fractional discrete Navier-Stokes equation using Adomian decomposition method. Here we discretize the space domain. The graphical representation of solution given by using Matlab software, and it compared with exact solution for alpha = 1.https://doi.org/10.1515/nleng-2012-0004riemann-liouville fractional derivativescaputo fractional derivativenavier-stokes equation
spellingShingle Birajdar Gunvant A.
Numerical Solution of Time Fractional Navier-Stokes Equation by Discrete Adomian decomposition method
Nonlinear Engineering
riemann-liouville fractional derivatives
caputo fractional derivative
navier-stokes equation
title Numerical Solution of Time Fractional Navier-Stokes Equation by Discrete Adomian decomposition method
title_full Numerical Solution of Time Fractional Navier-Stokes Equation by Discrete Adomian decomposition method
title_fullStr Numerical Solution of Time Fractional Navier-Stokes Equation by Discrete Adomian decomposition method
title_full_unstemmed Numerical Solution of Time Fractional Navier-Stokes Equation by Discrete Adomian decomposition method
title_short Numerical Solution of Time Fractional Navier-Stokes Equation by Discrete Adomian decomposition method
title_sort numerical solution of time fractional navier stokes equation by discrete adomian decomposition method
topic riemann-liouville fractional derivatives
caputo fractional derivative
navier-stokes equation
url https://doi.org/10.1515/nleng-2012-0004
work_keys_str_mv AT birajdargunvanta numericalsolutionoftimefractionalnavierstokesequationbydiscreteadomiandecompositionmethod