Empirical study of a Pade type accelerating method of Picard iteration

We use a Pade type acceleration technique for the method of successive approximations in [J. Biazar and A. Amirteimoori, "An improvement to the fixed point iterative method}, Applied Mathematics and Computation \textbf{182} (2006), 567-571, doi:10.1016/j.amc.2006.04.019] to empirically study the possibility of accelerating Picard iteration for some other known test functions.