Adomian Decomposition Method for Multiphase Miscible Flow the Porous Media

Authors

  • Patel Anilbhai. J.  Research Scholar, PACIFIC University, Udaipur, Rajasthan, India
  • Khatri Ronak G.  Research Scholar, PACIFIC University, Udaipur, Rajasthan, India
  • Dr. Bhathawala P. H.  Department of Mathematics, UGC Visiting Professor, HNGU Patan, Gujarat, India

Keywords:

Adomian decomposition method, nonlinear partial differential equations, Miscible Fluid.

Abstract

Multifluid Miscible Fluid flow in porous media givens some problem solve by nonlinear partial differential equations considering Adomian decomposition method. We generate the being of accurate solutions for those problem. The mathematical results show the capability and correctness of this method.

References

  1. Al-saif A.S.J., (2007), "Numerical study for convection motion stability of the Ncompressible two-dimensional fluid flow by differential quadrature method", J.Basrah Researches (Sciences), Vol.33, No. 1. p.103-110.
  2. Leveque R.J., (2006), "Finite difference methods for differential equations" A Math. 585 winters Quarter, University of Washington version of January.
  3. Roessler J. and Husner H., (1997), "Numerical solution of 1+2 dimensional Fisher’s equation by finite elements and Galerkin method", J. Math. Comput. Modeling, Vol. 25, No. 9, p. 57-67.
  4. Wescot B.L. and Rizwan-uddin, (2001), "An efficient formulation of modified nodal integral method and application to the two-dimension Burger’s equations", J. Nucl. ISci. and Eng., Vol.139, p. 293-305.
  5. Celik E., Bayram M. Yeloglu T., (2006), "Solution of differential–algebra Equations By Adomian decomposition method", Inter. J. Pure and Appl. Math. Sciences, Vol.3, No.1, p.93-100.
  6. Javidi M. and Golbabai A., (2007), "Adomian decomposition method for approximating the solution of parabolic equations", J. Appl. Math. Sciences, Vol.1, No.5, p.219-225.
  7. Seng V. Abbaoui K. Cherruault Y., (1996), "Adomian’s polynomial for nonlinear operators", J.Math. Comput. Modeling, Vol. 24, No. 1, p.59-65.
  8. Scheidegar, A.E. (1959), statistical approach to miscible phases in porous media, compt. Rend. Assoc. Geo., Toronto Assoc. International Hydrology Science, 2,236.
  9. Greenkorn, R.A., (1983), Flow phenomena in porous media, Marcel Dekker Inc.
  10. Schwartz, F.W. (1977), Macroscopic Dispersion in porous media: the controlling Factors, water Resources Research, 13(14), 743.

IInternational Journal of Scientific Research in Computer Science, Engineering and Information Technology

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Published

2018-02-28

Issue

Volume 3, Issue 1, January-February-2018

Section

Research Articles

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How to Cite

[1]
Patel Anilbhai. J., Khatri Ronak G., Dr. Bhathawala P. H., " Adomian Decomposition Method for Multiphase Miscible Flow the Porous Media, IInternational Journal of Scientific Research in Computer Science, Engineering and Information Technology(IJSRCSEIT), ISSN : 2456-3307, Volume 3, Issue 1, pp.1227-1232, January-February-2018.