Explicit Solution of Telegraph Equation Based on Reproducing Kernel Method

Table 1

The exact solution, approximate solution, absolute error, and relative error of Example 4.1 for initial conditions at 𝑡=0.5.

𝑥	Exact solution	Approximate solution	Absolute error	Relative error
0.2	0.5877852524	0.5877852576	5.21×10^−9	8.846768405×10^−9
0.4	0.9510565165	0.951056525	8.52×10^−9	8.937428904×10^−9
0.6	0.9510565163	0.95105657	5.37×10^−8	5.646352144×10^−8
0.8	0.5877852522	0.587785294	4.18×10^−8	7.111440759×10^−8