Nature Inspired Computational Technique for the Numerical Solution of Nonlinear Singular Boundary Value Problems Arising in Physiology

Table 7

Comparison of maximum absolute errors in solution of Example 2 between the proposed heuristic computing method and the methods given in [2, 12] (for 𝑚=0.25, 1).

𝑚=0.25			𝑚=1
Proposed method	Method in [12]	Method in [2]	Proposed method	Method in [2]	Method in [12]
1.11𝐸−4 (GA)	1.17𝐸−4 (𝑁=16)	2.07𝐸−4 (𝑁=16)	6.46𝐸−4 (GA)	1.46𝐸−3 (𝑁=16)	1.71𝐸−3 (𝑁=16)
1.10𝐸−4 (IPA)	3.04𝐸−4 (𝑁=32)	1.87𝐸−4 (𝑁=32)	1.43𝐸−4 (IPA)	3.68𝐸−4 (𝑁=32)	1.87𝐸−4 (𝑁=32)
1.42𝐸−4 (ASA)	7.67𝐸−5 (𝑁=64)	3.88𝐸−5 (𝑁=64)	3.23𝐸−4 (ASA)	9.20𝐸−5 (𝑁=64)	1.96𝐸−5 (𝑁=64)
6.47𝐸−5 (GA-IPA)	1.92𝐸−5 (𝑁=128)	8.10𝐸−5 (𝑁=128)	1.14𝐸−5 (GA-IPA)	2.30𝐸−5 (𝑁=128)	1.72𝐸−5 (𝑁=128)
1.40𝐸−4 (GA-ASA)	4.81𝐸−6 (𝑁=256)	2.75𝐸−6 (𝑁=256)	1.51𝐸−4 (GA-ASA)	5.75𝐸−6 (𝑁=256)	1.77𝐸−6 (𝑁=256)