Abstract and Applied Analysis

Research Article

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

Table 5

Numerical comparison of approximate solution for Example 5.2.
𝑥 Exact solution RKHS method Method in [6] Method in [7]
0 . 0 1 . 0 0 0 0 0 0 1 . 0 0 0 0 0 0 1 . 0 0 0 0 0 0 1 . 0 0 0 0 0 0
0 . 1 1 . 1 0 5 1 7 1 1 . 1 0 5 1 7 2 1 . 1 0 5 2 2 3 1 . 1 1 5 7 0 8
0 . 2 1 . 2 2 1 4 0 3 1 . 2 2 1 4 0 4 1 . 2 2 1 4 9 4 1 . 2 2 5 3 6 9
0 . 3 1 . 3 4 9 8 5 9 1 . 3 4 9 8 6 1 1 . 3 4 9 9 7 1 1 . 3 4 5 8 2 1
0 . 4 1 . 4 9 1 8 2 5 1 . 4 9 1 8 2 9 1 . 4 9 1 9 3 3 1 . 4 7 8 1 2 8
0 . 5 1 . 6 4 8 7 2 1 1 . 6 4 8 7 2 7 1 . 6 4 8 7 9 5 1 . 6 7 5 0 1 9
0 . 6 1 . 8 2 2 1 1 9 1 . 8 2 2 1 2 6 1 . 8 2 2 4 8 4 1 . 8 3 9 7 5 2
0 . 7 2 . 0 1 3 7 5 3 2 . 0 1 3 7 6 2 2 . 0 1 4 4 6 5 2 . 0 2 0 7 4 0
0 . 8 2 . 2 2 5 5 4 1 2 . 2 2 5 5 5 2 2 . 2 2 6 7 1 9 2 . 2 1 9 6 3 0
0 . 9 2 . 4 5 9 6 0 3 2 . 4 5 9 6 1 7 2 . 4 6 1 5 0 7 2 . 4 3 8 2 7 8
1 . 0 2 . 7 1 8 2 8 0 2 . 7 1 8 3 0 0 2 . 7 2 1 5 0 5 2 . 6 7 8 8 3 2