Abstract
The Emden-Fowler equation (E-F.Eq.) used in mathematical with other science like physics, chemical physics and astrophysics, also this equation can be reduces to the Lane–Emden equation with specified function and used it in different sciences with mathematics. Many Authors study analytic and numerical methods to find the solution for this kind of the equations in the case linear or nonlinear one of these methods the homotopy-perturbation method.In this work the approximate solution for generalized (E-F.Eq.) in the second order ordinary differential equations was found by Galerkin method which is one of the weighted residual methods and do not need long time also use operator (linear or nonlinear) or differential operator in the any kind of the intervals and compared this solution with the exact solution by discuss the results from applying this method for homogeneous and nonhomogeneous equations and drown the solutions in the same figure to illustrate the results.
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