Adomian Decomposition Analysis of Displacement through Homogeneous Porous Media

Authors

  • Patel Anilkumar 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, Imbibition, Drainage.

Abstract

In ground water flow in porous media givens some models solve by nonlinear partial differential equations considering Adomian decomposition method. We create the being of accurate solutions for those models. The numerical results show the ability 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. Sci. 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. Klute, A.(1952): A Numerical Method For Solving The Flow Equation For the Water in saturated matericals, Sci. 73, 105-116.
  9. Cosse, R. (1993), Basic of Reservoir Engineering, Edition Technip, Paris.
  10. Verma, A.P.(1969), Canadian Journal of physics, 47, 2519.
  11. Metha, M.N. (1977), Ph.D. Thesis, Surat (India), 105.
  12. Scheidegger, A.E. and Johnson, E.F. (1961), Canadian Journal of Physics, 39,326.
  13. Verma A.P. (1969) Imbibition in a Cracked Porous medium, Canadian Journal of Physics, 47,2519.
  14. Verma, A.P.(1969), Canadian Journal of physics, 47,319.
  15. Oroveanu, T. (1966), Scurgerea Fluiderol Multifazice Prin Medii Poroase, Editura Acad. R.S.R., Rumanoa.

International Journal of Scientific Research in Science, Engineering and Technology

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Published

2016-05-30

Issue

Volume 2, Issue 3, May-June-2016

Section

Research Articles

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This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
Patel Anilkumar J., Khatri Ronak G., Dr. Bhathawala P. H. "Adomian Decomposition Analysis of Displacement through Homogeneous Porous Media" International Journal of Scientific Research in Science, Engineering and Technology (IJSRSET), Print ISSN : 2395-1990, Online ISSN : 2394-4099, Volume 2, Issue 3, pp.981-987, May-June-2016.