Numerical methods and asymptotic error expansions for the Emden-Fowler equations

Quasi-Lie schemes and Emden–Fowler equations

The recently developed theory of quasi-Lie schemes is studied and applied to investigate several equations of Emden type and a scheme to deal with them and some of their generalisations is given. As a first result we obtain t-dependent constants of the motion for particular instances of Emden equations by means of some of their particular solutions. Previously known results are recovered from t...

Symmetry and nonexistence results for Emden-Fowler equations in cones

Approximate solutions of Emden-Fowler type equations

Singular initial value problems are investigated. We extend a decomposition method for di¤erent type Emden-Fowler-like equations. Some special cases of the equation are solved as examples, to illustrate the reliableness of the method. The solutions are constructed in the form of a convergent series.

Numerical Solutions for the Time-Dependent Emden-Fowler-Type Equations by B-Spline Method

A numerical method based on B-spline is developed to solve the time-dependent Emden-Fowler-type equations. We also present a reliable new algorithm based on B-spline to overcome the difficulty of the singular point at 0 x = . The error analysis of the method is described. Numerical results are given to illustrate the efficiency of the proposed method.

Application of the exact operational matrices for solving the Emden-Fowler equations, arising in ‎Astrophysics‎

The objective of this paper is applying the well-known exact operational matrices (EOMs) idea for solving the Emden-Fowler equations, illustrating the superiority of EOMs over ordinary operational matrices (OOMs). Up to now, a few studies have been conducted on EOMs ; but the solved differential equations did not have high-degree nonlinearity and the reported results could not strongly show the...