TY - EJOU AU - Wang, Linjun AU - Han, Xu AU - Xie, Youxiang TI - A New Homotopy Perturbation Method for Solving an Ill-Posed Problem of Multi-Source Dynamic Loads Reconstruction T2 - Computer Modeling in Engineering \& Sciences PY - 2011 VL - 82 IS - 3&4 SN - 1526-1506 AB - In this paper, a new homotopy perturbation method (IHPM) is presented and suggested to solve an ill-posed problem of multi-source dynamic loads reconstruction. We propose a stable and reliable modification, and obtain a new regularization method, then employ it to find the exact solution for the multi-source dynamic load identification problem. Also, this present method only needs easy computations rather than successive integrations. Finally, the performances of two numerical examples are given. Comparisons are performed between the original homotopy perturbation method (HPM) and IHPM. The results verify that the present method is very simple and effective. KW - Load identification KW - Ill-posed problems KW - Homotopy perturbation method KW - System of integral equations of the first kind DO - 10.32604/cmes.2011.082.179