Analytical Solution of Nonlinear Dynamics of a Self-Igniting Reaction-Diffusion System Using Modified Adomian Decomposition Method

Table 1

Comparison between analytical and numerical values of dimensionless concentration 𝑌 (Le=0.233, 𝛽=4.287, 𝛾=13.6, and 𝜙²=30000).

𝑥	Numerical value of 𝑌	Analytical value of 𝑌	% deviation
0	1	1	0
0.2	0.9661	0.9713	0.53
0.4	0.9398	0.9489	0.97
0.6	0.9216	0.9329	1.23
0.8	0.9113	0.9233	1.32
1	0.9082	0.9201	1.31