Research Article

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

Table 8

Numerical results for Example 5.5.

𝑥 Exact solution Approximate solution Absolute error Relative error

0 . 1 6 0 . 1 6 0 . 1 5 9 9 9 9 9 9 4 4 4 8 8 8 5 5 . 5 5 1 1 2 × 1 0 9 3 . 4 6 9 4 5 × 1 0 8
0 . 3 2 0 . 3 2 0 . 3 1 9 9 9 9 9 8 3 3 4 6 6 5 5 1 . 6 6 5 3 3 × 1 0 8 5 . 2 0 4 1 7 × 1 0 8
0 . 4 8 0 . 4 8 0 . 4 7 9 9 9 9 9 8 3 3 4 6 6 5 5 1 . 6 6 5 3 3 × 1 0 8 3 . 4 6 9 4 5 × 1 0 8
0 . 6 4 0 . 6 4 0 . 6 3 9 9 9 9 7 7 7 9 5 5 3 9 5 2 . 2 2 0 4 5 × 1 0 7 3 . 4 6 9 4 5 × 1 0 7
0 . 8 0 0 . 8 0 0 . 7 9 9 9 9 9 5 5 5 9 1 0 7 9 0 4 . 4 4 0 8 9 × 1 0 7 5 . 5 5 1 1 2 × 1 0 7
0 . 9 6 0 . 9 6 0 . 9 5 9 9 9 9 5 5 5 9 1 0 7 9 0 4 . 4 4 0 8 9 × 1 0 7 4 . 6 2 5 9 3 × 1 0 7