Research Article

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

Table 6

Numerical results for Example 5.3.

𝑥 Exact solution Approximate solution Absolute error Relative error

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