Open AccessSplitting Decomposition Homotopy Perturbation Method To Solve One -Dimensional Navier -Stokes Equation
Author(s) -
A. S. J. Al-Saif,
Takia Ahmed J. AlGriffi
Publication year - 2017
Publication title -
journal of advances in mathematics
Language(s) - English
Resource type - Journals
ISSN - 2347-1921
DOI - 10.24297/jam.v13i2.5965
Subject(s) - adomian decomposition method , mathematics , homotopy analysis method , exact solutions in general relativity , homotopy perturbation method , homotopy , mathematical analysis , perturbation (astronomy) , decomposition method (queueing theory) , convergent series , decomposition , partial differential equation , pure mathematics , discrete mathematics , physics , quantum mechanics , power series , ecology , biology
We have proposed in this research a new scheme to find analytical approximating solutions for Navier-Stokes equation of one dimension. The new methodology depends on combining Adomian decomposition and Homotopy perturbation methods with the splitting time scheme for differential operators . The new methodology is applied on two problems of the test: The first has an exact solution while the other one has no exact solution. The numerical results we obtained from solutions of two problems, have good convergent and high accuracy in comparison with the two traditional Adomian decomposition and Homotopy perturbationmethods .