Bernstein Series Solution of a Class of Lane-Emden Type Equations

A Third-degree B-spline Collocation Scheme for Solving a Class of the Nonlinear Lane–-Emden Type Equations

In this paper, we use a numerical method involving collocation method with third B-splines as basis functions for solving a class of singular initial value problems (IVPs) of Lane--Emden type equation. The original differential equation is modified at the point of singularity. The modified problem is then treated by using B-spline approximation. In the case of non-linear problems, we first line...

MODIFICATION OF THE OPTIMAL HOMOTOPY ASYMPTOTIC METHOD FOR LANE-EMDEN TYPE EQUATIONS

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.

Numerical Solution of Singular IVPs of Lane-Emden Type Using Integral Operator and Radial Basis Functions

Solution of Lane-Emden Type Equations by Combination of the Spectral Method and Adomian Decomposition Method

The application of a new modified Adomian decomposition method for obtaining the analytic solution of Lane-Emden type equations is investigated. The proposed method, called the spectral Adomian decomposition method, is based on a combination of spectral method and Adomian decomposition method. A comparative study between the proposed method and Adomian decomposition method is presented. The obt...

Quasilinear and Hessian Equations of Lane–emden Type

The existence problem is solved, and global pointwise estimates of solutions are obtained for quasilinear and Hessian equations of Lane–Emden type, including the following two model problems: −∆pu = u + μ, Fk[−u] = u + μ, u ≥ 0, on R, or on a bounded domain Ω ⊂ R. Here ∆p is the pLaplacian defined by ∆pu = div (∇u|∇u|p−2), and Fk[u] is the k-Hessian defined as the sum of k× k principal minors o...