【摘要】 就Tikhonov正则化方法求解第一类算子方程进行了新的探讨,针对展平泛函的极值处理,采用了遗传算法来解决.结合遗传算法的优点,扩大了解决问题的范围.介绍了其基本原理及运算流程,作为此方法的应用,首先对一变截面悬臂梁模型进行截面积反求,另外解决了一个热传导反问题实例,证明了其方法的有效性.更多还原

【Abstract】 A kind of Tikhonov Regularization method based on genetic algorithms has been suggested to solve ill-posed inverse problems.Genetic algorithm is adopted to minimize the smoothing functional.The basic principle of the method as well as the process of the technique has been presented.As an application,the cross-section area estimation of the cantilever beam and heat conduction inverse problem is presented to demonstrate the efficiency of the method.更多还原