Lane-Emden
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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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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Solving certain classes of Lane Emden type equations using the differential transformation method
... for Lane-Emden type equations occur in several mod- els of mathematical physics and astrophysics [–] such as the theory of stellar struc- ture, the thermal behavior of a spherical cloud of gas, ...
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Solving nonlinear Lane-Emden type equations with unsupervised combined artificial neural networks
... as Lane-Emden. Ramos [26, 27, 28, 29] solved Lane-Emden equations through dif- ferent ...the Lane-Emden type equation have been obtained by writing this equation as a Volterra ...
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Modified Differential Transform Method for Singular Lane-Emden Equations in Integer and Fractional Order
... Abstract. In the present work the modified differential transform method, incorporat- ing the Adomian polynomials into the differential transform method(DTM), is used to solve the nonlinear and singular ...
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A Third-degree B-spline Collocation Scheme for Solving a Class of the Nonlinear Lane–-Emden Type Equations
... Liao [27] provided an analytical algorithm for Lane-Emden type equations. This algorithm logically contains the well–known ADM. Different from all other analytical techniques provide us with a convenient ...
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Treatment of Lane-Emden Type Equations via Second Derivative Backward Differentiation Formula using Boundary Value Technique
... In mathematical physics and astrophysics, the modeling of the temperature variations of a spherical gas cloud un- der the natural attraction of its molecules and subject to the law of classical thermodynamics have been ...
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Approximate Solution of Lane Emden Type Equations Using Variation of Parameters Method with an Auxiliary Parameter
... [15] Parand, K., Dehghan, M., Rezaei, A.R. and Ghaderi, S.M. (2010) An Approximation Algorithm for the Solution of the Nonlinear Lane-Emden Type Equations Arising in Astrophysics Using Hermite Functions ...
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A criterion for oscillations in the solutions of the polytropic Lane Emden equations
... the Lane-Emden equations () with integer values of n ≤ –, we have verified such a monotonic behavior by numerical integrations of several cases (not shown ...
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Exact Axisymmetric Solutions of the 2 D Lane Emden Equations with Rotation
... It is important to note that the flat and rising rotation profiles were not prescribed as input to the Lane-Emden equations; instead, they were the result of the intrinsic equili- brium solutions. Similar ...
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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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Multiple Solutions on a Ball for a Generalized Lane Emden Equation
... Generalized Lane-Emden equation in relation to a critical Sobolev exponent using variational analysis as well as a complete phase plane analysis where there appears another sub-critical exponent influencing ...
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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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New Solutions for Singular Lane-Emden Equations Arising in Astrophysics Based on Shifted Ultraspherical Operational Matrices of Derivatives
... Abstract In this paper, the ultraspherical operational matrices of derivatives are constructed. Based on these operational matrices, two numerical algorithms are presented and analyzed for obtaining new approximate ...
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An Iterative Method for Solving Two Special Cases of Lane Emden Type Equation
... , which are nonlinear ordinary differential equations on the semi-in- finite domain [1] [2]. The efficiency of the DTM is illustrated by investigating the convergence results for this type of the ...
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Numerical solutions of fractional differential equations of Lane Emden type by an accurate technique
... In this work, we study the fractional order Lane-Emden differential equations by using the reproducing kernel method. The exact solution is shown in the form of a series in the reproducing kernel Hilbert ...
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Vol 8, No 10 (2017)
... solve Lane-Emden equation by a new approach, Differential Transform Method Powered by Adomian Polynomial (DTMAP) and Mulltistep Differential Transform Method Powered by Adomian Polynomial (DTMAP) as a ...
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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
... [18] D. C. Biles, M. P. Robinson and J. S. Spraker, “A Gener- alization of the Lane-Emden Equation,” Journal of Mathe- matical Analysis and Applications, Vol. 273, No. 2, 2002, pp. 654-666. ...
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Solutions of Second Order Nonlinear Singular Initial Value Problems by Modified Laplace Decomposition Method
... In this paper, we presented a reliable modification of the Laplace Decomposition Method (LDM) for solving non linear singular second order initial value problems. The method is used to obtain the exact solutions of the ...
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Equilibrium of Gravitating System of Spherical Gas Dust Cloud
... A fundamental problem in the theory of star and planet for- mation is the physical structure of gas-dust clouds. The the- ory of the structure and evolution of the stars and planets have been formulated in the first half ...
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