An iterative process based on homotopy and perturbation techniques

In this paper, we discuss high order iterative methods whose principle has been presented recently (N. Damil. M. Potier-Ferry, A. Najah, R. Chari. R. Lahmam. Communications in Numerical Methods in Engineering 15 (1999) 701-70 8). These algorithms are optimised by appropriate choices of the homotopy t ransformation of the perturbation technique and of the strategy of control. Especially, the use of Fade approximants yields very efficient algorithms as compared with classical first order ones. A classical nonlinear elastic shell problem permits us to assess the efficiency of the proposed method. ( C) 2000 Elsevier Science B.V. All rights reserved.