Lane-Emden Equation
Multiple Solutions on a Ball for a Generalized Lane Emden Equation
... Generalized Lane-Emden equation and the interplay between the exponents involved and their consequences on the existence and non existence of radial solutions on a unit ball in n ...the Lane- ...
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Finite Morse index solutions of the Hénon Lane–Emden equation
... In this section, we construct a monotonicity formula which plays an important role in dealing to understand supercritical elliptic equations or systems. This approach has been used successfully for the ...
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An Approximation Algorithm for the solution of astrophysics equations using rational scaled generalized Laguerre function collocation method based on transformed Hermite Gauss nodes
... the Lane-Emden equation through the simple supposition that the density is simply related to the density, while remaining inde- pendent of the ...
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Numerical Study of Fractional Differential Equations of Lane Emden Type by Method of Collocation
... the Lane-Emden problem, as well as other various linear and nonlinear singular initial value problems in quantum mechanics and astrophysics, is numerically challenging because of the singularity be- havior ...
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Numerical solutions of fractional differential equations of Lane Emden type by an accurate technique
... The Lane-Emden equation describes plenty of phenomena including aspects of stellar structure, the thermal history of a spher- ical cloud of gas, isothermal gas spheres, and thermionic ...nary ...
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Solutions of Second Order Nonlinear Singular Initial Value Problems by Modified Laplace Decomposition Method
... the Lane-Emden equation is given by Adomian decomposition, homotopy perturbation, Variational iteration, Differential transform [4]-[12] and so ...nonlinear Lane- Emden type ...
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Solving certain classes of Lane Emden type equations using the differential transformation method
... the Lane-Emden equation and made comparisons with He’s homotopy perturbation ...the Lane-Emden equation in order to address the difficulty of a singular point at x = and solve ...
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Approximate Solution of Lane Emden Type Equations Using Variation of Parameters Method with an Auxiliary Parameter
... in Equation (3) has physical significance in the range 0 ≤ ≤ k 5 so Equation (3) has a closed form solutions for k = 0,1,5 [2] but may be resorted to numerical solutions for other values of k but the ...
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Modified Differential Transform Method for Singular Lane-Emden Equations in Integer and Fractional Order
... constants. Lane-Emden type equations, first published by Janathan Homer Lane in 1870 [3] and further explored in detail by ...Emden[4]. Lane-Emden type equation was used ...
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Treatment of Lane-Emden Type Equations via Second Derivative Backward Differentiation Formula using Boundary Value Technique
... [18] Parand K., Shahini M. and Dehghan M., Rational Legendre pseu- dospectral approach for solving nonlinear differential equationds of Lane-Emden type, J. Comput. Phys., 228, 8830 - 8840, 2009. [19] Ramos ...
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Equilibrium of Gravitating System of Spherical Gas Dust Cloud
... differential equation is ...the Lane-Emden equation for the various values of the polytropic index after that, central density and central pressure were ...
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Vol 8, No 10 (2017)
... elliptic equation ∆ θ + θ n = 0 with θ (0) = 0 and θ ′ (0) = 0 on real positive line, called Lane-Emden ...the equation by Differential Transform and Multistep Differential Transform Methods ...
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A Third-degree B-spline Collocation Scheme for Solving a Class of the Nonlinear Lane–-Emden Type Equations
... the Lane-Emden-type equations have been solved by some B-spline functions in [26] and ...the Lane-Emden equations to the solution of algebraic ...the Lane-Emden equation ...
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Numerical Solution of Singular IVPs of Lane-Emden Type Using Integral Operator and Radial Basis Functions
... solve Lane-Emden equations, the main difficulty arises in the singularity of the equation at x = ...the Lane-Emden type problems are based on either series solutions or perturbation ...of ...
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A parametric iteration method for solving Lane-Emden type equations
... the Lane-Emden type equations have significant applications in many fields of scientific and technical world, a variety of forms of f (x, y) and g(x) have been investigated by many researchers ...the ...
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Oscillation criteria for a generalized Emden Fowler dynamic equation on time scales
... the Emden-Fowler equation and its generalized forms have attracted extensive attention because of the relevance to nuclear physics and gaseous dynamics in ...
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New Solutions for Singular Lane-Emden Equations Arising in Astrophysics Based on Shifted Ultraspherical Operational Matrices of Derivatives
... The outlines of this paper is as follows. In Section 2, some relevant properties of ultraspherical polynomials and their shifted ones are given. Section 3 is dedicated to introducing a new shifted ultraspherical ...
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Solution of Modified Equations of Emden Type by Differential Transform Method
... [28] S. Mukherjee, B. Roy and S. Dutta, “Solution of Duffing- Van der Pol Oscillator Equation by a Differential Trans- form Method,” Physica Scripta , Vol. 83, No. 1, 2010, Article ID 015006. ...
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Exact Axisymmetric Solutions of the 2 D Lane Emden Equations with Rotation
... µ = (Equation (25)). Eleven contours are plotted with the colors in the red part of the spec- trum representing higher rotation speeds. The aspect ratio of the plot is set to x z : = 5 :1 . Com- pared to Figure 3, ...
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An Iterative Method for Solving Two Special Cases of Lane Emden Type Equation
... The Equation (1) was used to model various problems, including the isothermal gas spheres, theory of thermionic currents and the gravitational potential of stars [1] among ...
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