Parameter Identification of Hyperbolic Equation Based on Differential Evolution Algorithm
Liu Hui-cha · Journal of Wuhan University · 2015
Differential evolution algorithm( DE) is a simple and efficient method when solving complex optimization problems. In this paper,DE was used to solve a class of parameter identification problems of hyperbolic partial differential equation,and according to the characteristics of the problems some improvements for DE were introduced. They included the parametric representation and individual coding method based on the hat function,the performance enhance schemes of the generalized opposition-based learning mechanism and the smoothing operator,and a new fitness value evaluation method which composed of the Tikhonov regularization and total variation regularization. Numerical simulations show that the proposed DE algorithm is very effective for the parameter identification problem of one-dimensional hyperbolic partial differential equation. The algorithm not only obtains the high precision solutions,but also achieves the faster convergence speed.