This research presents a link combine the Laplace transformation with the variation iteration method to solve the time-dependent Emden-Fowler type partial differential equations with singular behavior at x = 0, the challenge in this method lies in solving while avoiding the singularity point x = 0, in addition the method requires finding the value of lagrange multiplayer. The solution obtained is analytic, and the Padé approximants (PA) of an order [M/N] are used to improve the accuracy of the approximate solution. To show the excellent accuracy of the solution results, we compare the absolute errors with other methods. The results gained in each case demonstrate the dependability and effectiveness of this approach.
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