Explicit Solution of Telegraph Equation Based on Reproducing Kernel Method

Table 7

The relative errors and computational times for Examples 4.1–4.3 at different values of 𝑥 and 𝑡.

𝑥	𝑡	Example 5.1	Time	Example 5.2	Time	Example 5.3	Time
0.1	0.1	5.57×10^−9	1.685	5.20963×10^−5	1.809	5.13216×10^−6	1.716
0.2	0.2	3.02×10^−8	1.857	2.07422×10^−5	1.732	6.82234×10^−7	1.872
0.3	0.3	3.250×10^−7	1.841	7.17823×10^−4	1.934	6.74863×10^−7	1.669
0.4	0.4	5.56×10^−8	1.857	6.44910×10^−4	1.872	5.73933×10^−6	1.716
0.5	0.5	3.×10^−6	1.622	2.481×10^−7	1.841	3.93839×10^−6	1.716
0.6	0.6	1.632×10^−7	1.826	4.54×10^−8	1.654	5.35112×10^−6	1.701
0.7	0.7	2.01×10^−8	1.731	9.19×10^−9	1.560	9.26055×10^−6	1.638
0.8	0.8	2.9613×10^−6	1.747	4.3169×10^−7	1.591	9.6449×10^−9	1.763
0.9	0.9	4.9767×10^−7	1.701	1.781×10^−8	1.653	6.3701×10^−9	1.669
1.0	1.0	4.2964×10^−5	1.623	1.61644×10^−10	1.513	2.75453×10^−4	1.732