Approximation Solution of Fractional Partial Differential Equations by Neural Networks

Table 2

The comparisons between exact solution 𝑢(𝑥_𝑖,𝑡_𝑖) and the approximated solution test points 𝑦(𝑥_𝑖,𝑦_𝑖) at Δ𝑥_𝑖=0.2, Δ𝑡_𝑖=0.1.

𝑥	𝑡	𝑈(𝑥,𝑡)	𝑌(𝑥,𝑡)
0.2	0.1	0.4691	0.4246
0.4	0.2	1.3414	1.3752
0.6	0.3	0.2490	0.2831
0.8	0.4	2.0906	2.0597
1.0	0.5	2.4711	2.4244
1.2	0.6	2.4261	2.4997
1.4	0.7	2.0231	2.0488
1.6	0.8	0.7362	0.7651
1.8	0.9	0.2107	0.2239
Maximum error		0.0736