The Adomian Decomposition Method for Solving a Moving Boundary Problem Arising from the Diffusion of Oxygen in Absorbing Tissue

Table 1

A comparison for the position of the moving boundary as obtained from (a) numerical evaluation by using Runge-Kutta method, (b) approximation solution [1], (c) numerical method [1], and (d) ADM.

Values of 𝑥	Numerical solution	Approximate solution	Numerical method	ADM
0	—	—	—	1
0.051	1	1	0.9967	0.82073
0.060	0.9974	0.9996	0.9922	0.7848
0.080	0.9750	0.9817	0.9719	0.6985
0.100	0.9321	0.9393	0.9352	0.6000