COMPARISON OF PERTURBATION TECHNIQUES FOR NONLINEAR PROBLEMS.

The present paper presents the comparison of analytical techniques. We establish the existence of the phenomena of the noise terms in the perturbation series solution and find the exact solution of the nonlinear problems. If the noise terms exist, the Homotopy perturbation method gives the same series solution as in Adomian Decomposition Method and we get the exact solution using two iterations only. [ABSTRACT FROM AUTHOR]