Analytical Treatment and Convergence of the Adomian Decomposition Method for Instability Phenomena Arising during Oil Recovery Process | Zendy

Ramakanta Meher | Zendy; Srikanta K. Meher | Zendy

Open Access

Analytical Treatment and Convergence of the Adomian Decomposition Method for Instability Phenomena Arising during Oil Recovery Process

Author(s) -

Ramakanta Meher,

Srikanta K. Meher

Publication year - 2013

Publication title -

international journal of engineering mathematics

Language(s) - English

Resource type - Journals

eISSN - 2356-7007

pISSN - 2314-6109

DOI - 10.1155/2013/752561

Subject(s) - adomian decomposition method , instability , convergence (economics) , decomposition method (queueing theory) , mathematics , porous medium , partial differential equation , mathematical analysis , hilbert space , flow (mathematics) , decomposition , porosity , mechanics , physics , materials science , geometry , ecology , discrete mathematics , economics , composite material , biology , economic growth

An abstract result is proved for the convergence of Adomian decomposition method for partial differential equations that model porous medium equation. Moreover, we prove that this decomposition scheme applied to a porous medium equation arising in instability phenomena in double phase flow through porous media is convergent in a suitable Hilbert space. Furthermore, this technique is utilized to find closed-form solutions for the problem under consideration

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