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

Table 2

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

𝑥	Analytical value of 𝑇	Numerical value of 𝑇	% deviation
0	1	1	0
0.2	1.0155	1.1013	0.27
0.4	1.0235	1.0191	0.42
0.6	1.0233	1.0191	0.41
0.8	1.0152	1.0128	0.24
1	1	1	0