Research Article

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

Table 2

Numerical results of 𝑢 ( 𝑥 ) for Example 5.1.

𝑥 Exact solution Approximate solution Absolute error Relative error

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