Singular initial-value problems in second-order ordinary differential equations of Lane–Emden type are investigated. In this study, we shall introduce a further development in the Adomian decomposition method to overcome the difficulty at the singular point of non-homogeneous, linear and non-linear Lane–Emden-like equations; especially when the singularity appears on the right-hand side of this...

In this paper, modication of the optimal homotopy asymptotic method (MOHAM) is appliedupon singular initial value Lane-Emden type equations and results are compared with the available exactsolutions. The modied algorithm give the exact solution for dierential equations by using one iterationonly.

in this paper, modi cation of the optimal homotopy asymptotic method (moham) is appliedupon singular initial value lane-emden type equations and results are compared with the available exactsolutions. the modi ed algorithm give the exact solution for dierential equations by using one iterationonly.

The ultimate goal of this study is to develop a numerically effective approximation technique acquire numerical solutions the integer and fractional-order Bratu singular Lane–Emden-type problems especially with exponential nonlinearity. Both initial boundary conditions were considered fractional derivative being in Liouville–Caputo sense. In direct approach, generalized Bessel matrix method bas...

In this work, we investigate astrophysical systems in a Newtonian regime using anisotropic matter. For purpose, considered that both radial and tangential pressures satisfy generalized Chaplygin-type equation of state. Using model, found the Lane–Emden for system solved it numerically several sets parameters. Finally, explored mass supported by physical compared with Chandrasekhar mass.

In this work we study class I interior solutions supported by anisotropic polytropes. The generalized Lane--Emden equation compatible with the embedding condition is obtained and solved for a different set of parameters in both isothermal non--isothermal regimes. For completeness, Tolman mass computed analysed to some extend. As complementary consider impact Karmarkar on functions respectively....

We prove the existence and uniqueness of stationary spherically symmetric positive solutions for the Schrödinger-Newton model in any space dimension d. Our result is based on a careful analysis of the corresponding system of second order differential equations. It turns out that d = 6 is critical for the existence of finite energy solutions and the equations for positive spherically symmetric s...