Analytical Treatment and Convergence of the Adomian Decomposition Method for Instability Phenomena Arising during Oil Recovery Process. (24th July 2013)

• Record Type: Journal Article
• Authors: Meher, Ramakanta; Meher, Srikanta K.
• Other Names: Dulikravich George S. Academic Editor.
• Is Part Of: International journal of engineering mathematics. Volume 2013(2013)
• Publication Date: 2013-07-24
• Subjects: Engineering mathematics -- Periodicals; Engineering mathematics; Electronic journals; Periodicals; 620.00151
• DOI: 10.1155/2013/752561
• Languages: English
• ISSNs: 2356-7007

Abstract

Abstract : 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.