Numerical Solution of a Class of Time-Fractional Order Diffusion Equations in a New Reproducing Kernel Space

Table 1

Comparison of absolute errors obtained for Experiment 1 at , .

	Exact solution	Traditional RKM	Present method	Present method
0.1	0.0090	2.272e − 03	4.565e − 06	6.536e − 11
0.2	0.0320	4.032e − 03	9.332e − 06	1.164e − 09
0.3	0.0630	5.284e − 03	1.384e − 05	3.207e − 09
0.4	0.0960	6.029e − 03	1.765e − 05	5.585e − 09
0.5	0.1251	6.270e − 03	2.028e − 05	7.818e − 09
0.6	0.1441	6.010e − 03	2.129e − 05	9.425e − 09
0.7	0.1471	5.250e − 03	2.023e − 05	9.927e − 09
0.8	0.1281	3.994e − 03	1.663e − 05	8.843e − 09
0.9	0.0810	2.243e − 03	1.004e − 05	5.694e − 09