人工萤火虫群优化算法求解二重数值积分

Artificial Glowworm Swarm Optimization Algorithm for Solving Double Numerical Integration Problems

为提高传统方法求解二重数值积分精度,提出利用人工萤火虫群优化算法求解二重积分的新方法。该方法初始时将矩形积分区域两个方向分割成若干不等距节点,通过萤火虫算法优化这些节点,以优化后的节点为分割点求数值积分的值,以得到比较精确的积分结果。数值积分算例表明,该算法得到的积分值精度高、自适应性强,是一种有效的数值积分方法,在数值计算、工程实际应用中具有一定的参考和应用价值。

In order to improve the accuracy problem of double numerical integration of traditional algorithms,a new method for solving double numerical integration based on artificial glowworm swarm optimization algorithm（GSO）is presented.GSO is used to optimize the node points on the direction range in rectangular integration domain to get a more precise integration result.Simulation examples of integration show the algorithm is a validated method with high precision and powerful self-adapting.The algorithm has value in numerical calculation and engineering practice.