Many problems in applied mathematics lead to ordinary differential equation. In this paper, a considerable refinement and improvement of the Euler's method obtained using PSO (particle swarm optimization) was prese...Many problems in applied mathematics lead to ordinary differential equation. In this paper, a considerable refinement and improvement of the Euler's method obtained using PSO (particle swarm optimization) was presented. PSO is a technique based on the cooperation between particles. The exchange of information between these particles allows to resolve difficult problems. This approach is carefully handled and tested with an illustrated example.展开更多
文摘Many problems in applied mathematics lead to ordinary differential equation. In this paper, a considerable refinement and improvement of the Euler's method obtained using PSO (particle swarm optimization) was presented. PSO is a technique based on the cooperation between particles. The exchange of information between these particles allows to resolve difficult problems. This approach is carefully handled and tested with an illustrated example.