Singular two-point boundary value problems (BVPs) are investigated using a new technique, namely, optimal homotopy asymptotic method (OHAM). OHAM provides a convenient way of controlling the convergence region and it does not need to identify an auxiliary parameter. The effectiveness of the method is investigated by comparing the results obtained with the exact solution, which proves the reliab...

The aim of our work is to obtain the analytic solutions for a new nonlinear anharmonic oscillator by means Optimal Homotopy Asymptotic Method (OHAM), using only one iteration. accuracy obtained results comes from comparison with corresponding numerical ones specified physical parameters. Moreover, OHAM method has greater degree flexibility than an iterative as presented in this paper. Based on ...