Numerical Solutions of the Second-Order One-Dimensional Telegraph Equation Based on Reproducing Kernel Hilbert Space Method

Table 3

A comparison between interpolating scaling function method [11] and RKM for different values of 𝛼, 𝛽, and 𝑡 for Example 20.

𝑥	CPU time (s)	AE; [11]; 𝛼=20; 𝑡=0.5	AE; RKM; 𝛼=20; 𝑡=0.5	AE; [11]; 𝛽=10; 𝑡=1	AE; RKM; 𝛽=10; 𝑡=1
0.0	2.512	2×10^−21	0.0	2×10^−6	0.0
0.1	2.262	5×10^−4	3×10^−7	1×10^−3	3×10^−8
0.2	2.309	7×10^−4	2×10^−8	2×10^−3	3×10^−7
0.3	2.293	1×10^−3	2×10^−7	2×10^−4	2×10^−7
0.4	2.278	2×10^−3	5×10^−5	4×10^−4	1×10^−7
0.5	2.883	3×10^−3	1×10^−5	5×10^−4	8×10^−8
0.6	2.821	3×10^−3	5×10^−8	8×10^−4	5×10^−7
0.7	2.805	4×10^−3	2×10^−7	8×10^−4	1×10^−7
0.8	2.231	3×10^−3	6×10^−7	6×10^−4	1×10^−7
0.9	2.277	2×10^−3	2×10^−6	3×10^−4	8×10^−8
1.0	2.169	2×10^−4	2×10^−8	9×10^−5	4×10^−10