M. E. Shvez iterative method and its application in mechanics

When there is small quantity term contained in differential equation, we may solve it by using the M. E. Shvez iterative method. If the small quantity term has singularity, or in the certain region where the small quantity term is not small, using this method to solve such differential equation, we may meet difficulties. In this paper, the author improves the M. E. Shvez method. Several examples are given to demonstrate the algorithm.