Research Article

Application of Reproducing Kernel Method for Solving Nonlinear Fredholm-Volterra Integrodifferential Equations

Table 3

Numerical comparison of absolute error for Example 5.1.

š‘„ Method in [6] Method in [7] Method in [8] RKHS method

0.0 0 0 0 0
0.1 1 . 6 6 0 0 Ɨ 1 0 āˆ’ 4 2 . 1 8 4 0 Ɨ 1 0 āˆ’ 3 3 . 1 0 0 0 Ɨ 1 0 āˆ’ 5 6 . 1 4 1 5 Ɨ 1 0 āˆ’ 7
0.2 2 . 5 4 0 0 Ɨ 1 0 āˆ’ 4 1 . 4 6 3 0 Ɨ 1 0 āˆ’ 3 7 . 5 0 0 0 Ɨ 1 0 āˆ’ 5 1 . 2 3 4 5 Ɨ 1 0 āˆ’ 6
0.3 2 . 6 2 0 0 Ɨ 1 0 āˆ’ 4 1 . 6 7 8 0 Ɨ 1 0 āˆ’ 3 1 . 7 1 0 0 Ɨ 1 0 āˆ’ 4 1 . 8 6 7 1 Ɨ 1 0 āˆ’ 6
0.4 1 . 9 1 0 0 Ɨ 1 0 āˆ’ 4 7 . 2 3 9 0 Ɨ 1 0 āˆ’ 3 9 . 4 0 0 0 Ɨ 1 0 āˆ’ 5 2 . 5 1 8 5 Ɨ 1 0 āˆ’ 6
0.5 4 . 1 0 0 0 Ɨ 1 0 āˆ’ 5 1 . 6 0 2 4 Ɨ 1 0 āˆ’ 2 2 . 2 8 0 0 Ɨ 1 0 āˆ’ 4 3 . 1 9 5 0 Ɨ 1 0 āˆ’ 6
0.6 2 . 0 2 0 0 Ɨ 1 0 āˆ’ 4 1 . 1 4 8 0 Ɨ 1 0 āˆ’ 2 5 . 0 2 0 0 Ɨ 1 0 āˆ’ 4 3 . 9 0 3 5 Ɨ 1 0 āˆ’ 6
0.7 2 . 8 3 0 0 Ɨ 1 0 āˆ’ 4 4 . 5 1 5 0 Ɨ 1 0 āˆ’ 3 5 . 8 3 0 0 Ɨ 1 0 āˆ’ 4 4 . 6 5 1 1 Ɨ 1 0 āˆ’ 6
0.8 2 . 8 3 0 0 Ɨ 1 0 āˆ’ 4 4 . 8 7 2 0 Ɨ 1 0 āˆ’ 3 3 . 7 4 0 0 Ɨ 1 0 āˆ’ 4 5 . 4 4 5 3 Ɨ 1 0 āˆ’ 6
0.9 2 . 0 2 0 0 Ɨ 1 0 āˆ’ 4 1 . 6 6 8 2 Ɨ 1 0 āˆ’ 2 4 . 7 0 0 0 Ɨ 1 0 āˆ’ 5 6 . 2 9 3 9 Ɨ 1 0 āˆ’ 6
1.0 3 . 7 0 0 0 Ɨ 1 0 āˆ’ 5 3 . 0 9 1 4 Ɨ 1 0 āˆ’ 2 1 . 4 0 0 0 Ɨ 1 0 āˆ’ 5 7 . 2 0 5 5 Ɨ 1 0 āˆ’ 6