Research Article

A Particle Swarm Optimization-Based Method for Numerically Solving Ordinary Differential Equations

Table 2

Comparisons with the typical Euler method.

The approximate solution
Present studyEuler methodExact solution

1.51.14651.05971.1458
2.03.30462.84073.3
2.57.90666.51837.8925
3.016.298513.086516.2667
3.530.130423.754230.0696