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
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