Solving a Class of Singularly Perturbed Partial Differential Equation by Using the Perturbation Method and Reproducing Kernel Method

Table 2

Comparison of the absolute error 𝜀=1×10⁻⁴.

(𝑥,𝑡)	𝑢𝑇(𝑡,𝑥)	Approximate solution	Absolute error
(0, 0)	0	0	0
(0.01, 0.01)	0.010001	0.01	1×10^−6
(0.03, 0.03)	0.030003	0.03	3×10^−6
(0.05, 0.05)	0.050005	0.05	5×10^−6
(0.06, 0.06)	0.060006	0.06	6×10^−6
(0.08, 0.08)	0.080008	0.08	8×10^−6
(0.10, 0.10)	0.100010	0.10	1×10^−5