Explicit Solution of Telegraph Equation Based on Reproducing Kernel Method

Table 3

The exact solution, approximate solution, absolute error, and relative error of Example 4.2 for initial conditions at 𝑡=0.8.

𝑥	Exact solution	Approximate solution	Absolute error	Relative error
0.2	0.04761212907	0.047612168	3.8931×10^−8	8.176487958×10^−7
0.4	0.07703804312	0.07703791	1.3312×10^−7	0.000001727977433
0.6	0.07703804310	0.077037983	6.0101×10^−8	7.801340426×10^−7
0.8	0.04761212906	0.04761256075	4.3169×10^−7	0.000009066807314