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

Table 1

Saturation versus time keeping distance fixed: Adomian decomposition method.

𝑋/𝑇	0.1	0.2	0.3	0.4	0.5	0.6	0.7	0.8	0.9	1
0.1	0.901153	0.815959	0.738585	0.668161	0.603819	0.544687	0.489897	0.43858	0.389865	0.342883
0.2	0.890376	0.807984	0.732875	0.664522	0.602394	0.545964	0.494703	0.448083	0.405574	0.366648
0.3	0.873241	0.795169	0.723512	0.658171	0.59905	0.54605	0.499073	0.458021	0.422796	0.393301
0.4	0.850831	0.778173	0.7108	0.649006	0.593088	0.543343	0.500065	0.463552	0.434098	0.412001
0.5	0.8244	0.757806	0.69522	0.637214	0.584359	0.537229	0.496395	0.462431	0.435908	0.417399
0.6	0.795209	0.734933	0.677375	0.623243	0.573248	0.528099	0.488505	0.455177	0.428824	0.410155
0.7	0.764408	0.710386	0.657894	0.60766	0.560411	0.516877	0.477784	0.443861	0.415836	0.394437
0.8	0.732959	0.684903	0.637365	0.591013	0.546511	0.504525	0.465723	0.430769	0.400329	0.375069
0.9	0.701618	0.659097	0.616291	0.573761	0.532069	0.491775	0.45344	0.417626	0.384893	0.355803
1	0.670941	0.63345	0.595075	0.556257	0.51744	0.479065	0.441573	0.405408	0.37101	0.338822