Abstract:
The aim of the present study is to design a new fifth order system of Emden–Fowler equations
and related four types of the model. The standard second order form of the Emden–Fowler has
been used to obtain the new model. The shape factor that appear more than one time discussed in
detail for every case of the designed model. The singularity at η = 0 at one point or multiple points
is also discussed at each type of the model. For validation and correctness of the new designed
model, one example of each type based on system of fifth order Emden–Fowler equations are
provided and numerical solutions of the designed equations of each type have been obtained by
using variational iteration scheme. The comparison of the exact results and present numerical
outcomes for solving one problem of each type is presented to check the accuracy of the designed
model.
