Reproducing Kernel Method for Solving Nonlinear Differential-Difference Equations

Table 1

Relative errors of 𝑢_4,𝑚(𝑡), for Example 3.1.

𝑡	𝑢exact	RE (𝑚=16)	RE (𝑚=50)	RE (𝑚=150)
0.1	3.33333	2.39250𝐸−02	2.15212𝐸−03	2.27949𝐸−04
0.2	2.85714	1.81724𝐸−02	1.63061𝐸−03	1.72270𝐸−04
0.3	2.50000	1.47060𝐸−02	1.28701𝐸−03	1.35604𝐸−04
0.4	2.22222	1.21036𝐸−02	1.04777𝐸−03	1.10095𝐸−04
0.5	2.00000	1.02211𝐸−02	8.73935𝐸−04	9.15787𝐸−05
0.6	1.81818	8.78692𝐸−03	7.43272𝐸−04	7.76766𝐸−05
0.7	1.66667	7.65804𝐸−03	6.42308𝐸−04	6.69478𝐸−05
0.8	1.53846	6.77754𝐸−03	5.62483𝐸−04	5.84769𝐸−05
0.9	1.42857	6.04603𝐸−03	4.98142𝐸−04	5.16585𝐸−05
1	1.33333	5.45125𝐸−03	4.45418𝐸−04	4.60794𝐸−05