Iterative Multistep Reproducing Kernel Hilbert Space Method for Solving Strongly Nonlinear Oscillators

Table 1

Numerical results for Example 1.

𝑥	Exact solution	Approximate solution	Absolute error
1	0.422028152617	0.422025539209	2.613408511×10^−6
2	0.975681564063	0.975679846174	1.717889282×10^−6
3	0.726330928646	0.726337897921	6.969275154×10^−6
5	0.147326046846	0.147316914492	9.132353861×10^−6
7	0.944711061916	0.944719149810	8.087893972×10^−6
9	0.006510539200	0.006507180434	3.358766650×10^−6
11	0.994264292331	0.994259400506	4.891824396×10^−6
12	0.651670468807	0.651700265815	2.979700811×10^−5
14	0.208928285637	0.208898850504	2.943513285×10^−5
15	0.856178588587	0.856150469874	2.811871259×10^−5