Splitting Decomposition Homotopy Perturbation Method To Solve One -Dimensional Navier -Stokes Equation

Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2017, Vol 13, Issue 2

Abstract

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 . 

Authors and Affiliations

A. S. J Al-Saif, Takia Ahmed J Al-Griffi

Keywords

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  • EP ID EP651765
  • DOI 10.24297/jam.v13i2.5965
  • Views 197
  • Downloads 0

How To Cite

A. S. J Al-Saif, Takia Ahmed J Al-Griffi (2017). Splitting Decomposition Homotopy Perturbation Method To Solve One -Dimensional Navier -Stokes Equation. JOURNAL OF ADVANCES IN MATHEMATICS, 13(2), 7123-7134. https://europub.co.uk/articles/-A-651765