对流-扩散方程源项识别反问题的遗传算法

Genetic algorithm to an inverse problem of source term identification for convection-diffusion equation

给出了利用遗传算法求解对流 扩散方程源项识别反问题的一种新方法。该方法把源项反问题转化为优化问题,用遗传算法求解。它的特点在于:从多个初始点开始寻优,并借助交叉,变异算子来获得全局最优解。实例模拟结果表明,该方法具有精度高,收敛速度快且易于计算机实现等特点。

A new approach based on genetic algorithm for source identification of convection-diffusion equation is proposed. It transforms the source identification problem into the solution of an optimization problem using genetic algorithm. By using genetic algorithm the method can search the best solution from many initial points and obtain the global optimum solution by means of crossover and mutation operator. The results of numerical simulation show that the method has high accuracy and quicker convergent speed than existing method and is easy to program and calculate.