Numerical Solution of Singular Lane-Emden Equation

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

Numerical Solution of the Lane-Emden Equation Based on DE Transformation via Sinc Collocation Method

In this paper‎, ‎numerical solution of‎ ‎general Lane-Emden equation via collocation method based on‎ ‎Double Exponential DE transformation is considered‎. ‎The‎ ‎method converts equation to the nonlinear Volterra integral‎ ‎equation‎. ‎Numerical examples show the accuracy of the method.‎ ‎Also‎, ‎some remarks with respect to run-time‎, computational cost‎ ‎and implementation are discussed.

Non-radial Singular Solutions of Lane-emden Equation in R

We obtain infinitely many non-radial singular solutions of LaneEmden equation ∆u + u = 0 in RN\{0}, N ≥ 4 with N + 1 N − 3 < p < pc(N − 1) by constructing infinitely many radially symmetric regular solutions of equation on SN−1 ∆SN−1w − 2 p− 1 [ N − 2− 2 p− 1 ] w + w = 0.

numerical solution of singular ivps of lane-emden type using integral operator and radial basis functions

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Asymptotic Behaviour of the Solution for the Singular Lane-emden-fowler Equation with Nonlinear Convection Terms

We show the exact asymptotic behaviour near the boundary for the classical solution to the Dirichler problem −∆u = k(x)g(u) + λ|∇u| , u > 0, x ∈ Ω, u ̨̨