Research Article

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

Table 7

Numerical results for Example 5.4.

𝑥 Exact solution Approximate solution Absolute error Relative error

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