Solution of Lane Emden–Fowler Partial Differential Equations by Taylor
Series Strategy

The Taylor series scheme is one of the most primitive analytic-numeric algorithms for exactsolution of initial value problems for deferential equations. Taylor's series technique is a simpleand effective tool for dealing with some PDEs. The main idea of the treatment of thesealgorithms is based on the calculation of higher derivatives using well-known technique for theLane Emden-Fowler PDEs. Therefore, this paper is directed to show this method of solving LaneEmden-Fowler PDEs with singular boundary value problems, we found that this strategy israrely used. The numerical results obtained demonstrate that: this technique is exceptionallysimple and valuable compared to other strategies.