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

Related Articles

Dynamics of certain anti-competitive systems of rational difference equations in the plane

In this paper, we consider a system of rational difference equations and we will prove that the unique positive equilibrium point of this system is globally asymptotically stable. We also determine the rate of convergenc...

COMMON FIXED POINT THEOREM FOR A PAIR OF WEAKLY COMPATIBLE SELF-MAPPINGS IN FUZZY METRIC SPACE USING (CLRG) PROPERTY

In this paper we prove a common fixed point theorem for a pair of weakly compatible self-mappings in fuzzy metric space by using (CLRg) property. The result is extended for two finite families of self-mappings...

On Interval-Valued Intuitionistic Fuzzy Hyper BCK-Ideals of Hyper BCK Algebras

In this paper, we apply the concept of an interval-valued intuitionistic fuzzy set to hyper BCK-ideals in hyper BCK-algebras. The notion of an interval-valued intuitionistic fuzzification of (strong, weak, s-we...

FIXED POINTS IN MENGER SPACE FOR WEAK COMPATIBLE MAPPINGS

The purpose of this paper is to establish a unique common fixed point theorem for six self mappings using the concept of weak compatibility in Menger space which is an alternate result of Jain and Singh [5]. We also cite...

Karp's Theorem in Inverse Obstacle Scattering Problems

In this work, we provide a proof of the so-called Karp's theorem in a different approach. We use the unique continuation principle together with the monotonicity of eigenvalues for the negative Laplace operator...

Download PDF file
  • EP ID EP651765
  • DOI 10.24297/jam.v13i2.5965
  • Views 166
  • 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