Analytical solution for the time-dependent Emden–Fowler type of equations by Adomian decomposition method

摘要

In this paper, Adomian decomposition method is used to obtain analytical solution for the time-dependent Emden–Fowler type of equations and wave-type equation with singular behavior. The advantage of this single global method is employed to present a reliable framework is used to overcome the singularity behavior at the point x = 0 for both models. The proposed scheme reveals quite a number of remarkable features that will be helpful for identical problems. The work is supported by analyzing few examples where the convergence of the results is observed.