Application of Intelligent Paradigm through Neural Networks for Numerical Solution of Multiorder Fractional Differential Equations

Table 3

Comparison of absolute errors in solutions obtained by the BLM-NN algorithm with the Bernoulli wavelet operational matrix method and the Haar wavelet collocation method.

t	N = 08		N = 16		N = 32		N = 64		BLM-NN
	HWCM	BWOM	HWCM	BWOM	HWCM	BWOM	HWCM	BWOM
1.00E-01	2.27E-04	1.10E-03	6.55E-05	2.00E-04	1.83E-05	6.96E-05	5.05E-06	1.53E-05	6.40E-08
2.00E-01	4.76E-04	1.70E-03	1.33E-04	5.00E-04	3.69E-05	1.17E-04	1.02E-05	3.69E-05	4.82E-08
3.00E-01	6.92E-04	2.50E-03	1.93E-04	8.00E-04	5.34E-05	1.75E-04	1.48E-05	5.42E-05	2.64E-08
4.00E-01	8.72E-04	4.00E-03	2.43E-04	9.00E-04	6.73E-05	2.74E-04	1.87E-05	5.91E-05	3.02E-10
5.00E-01	1.02E-03	5.30E-03	2.83E-04	1.40E-03	7.88E-05	3.52E-04	2.20E-05	9.10E-05	2.98E-08
6.00E-01	1.13E-03	5.90E-03	3.15E-04	1.20E-03	8.79E-05	3.87E-04	2.46E-05	8.28E-05	5.82E-08
7.00E-01	1.21E-03	5.30E-03	3.38E-04	1.70E-03	9.48E-05	3.58E-04	2.66E-05	1.14E-04	2.01E-08
8.00E-01	1.26E-03	5.80E-03	3.54E-04	1.90E-03	9.96E-05	3.96E-04	2.81E-05	1.26E-04	5.93E-08
9.00E-01	1.28E-03	8.00E-03	3.63E-04	1.60E-03	1.03E-04	5.36E-04	2.91E-05	1.12E-04	2.10E-06