نتایج جستجو برای: Lane-Emden equations

تعداد نتایج: 247851  

Journal: :international journal of industrial mathematics 0
k. parand department of computer sciences, shahid beheshti university, tehran, iran. z. roozbahani department of computer sciences, shahid beheshti university, tehran, iran. f. bayat babolghani department of computer sciences, shahid beheshti university, tehran, iran.

in this paper we propose a method for solving some well-known classes of lane-emden type equations which are nonlinear ordinary differential equations on the semi-in nite domain. the proposed approach is based on an unsupervised combined arti cial neural networks (ucann) method. firstly, the trial solutions of the differential equations are written in the form of feed-forward neural networks co...

2012
Gholamreza Hojjati Kourosh Parand

In this paper we propose a class of second derivative multistep methods for solving some well-known classes of LaneEmden type equations which are nonlinear ordinary differential equations on the semi-infinite domain. These methods, which have good stability and accuracy properties, are useful in deal with stiff ODEs. We show superiority of these methods by applying them on the some famous Lane-...

Journal: :J. Applied Mathematics 2012
Fukang Yin Junqiang Song Fengshun Lu Hongze Leng

A coupled method of Laplace transform and Legendre wavelets is presented to obtain exact solutions of Lane-Emden-type equations. By employing properties of Laplace transform, a new operator is first introduced and then its Legendre wavelets operational matrix is derived to convert the Lane-Emden equations into a system of algebraic equations. Block pulse functions are used to calculate the Lege...

F. Bayat Babolghani K. Parand Z. Roozbahani,

In this paper we propose a method for solving some well-known classes of Lane-Emden type equations which are nonlinear ordinary differential equations on the semi-innite domain. The proposed approach is based on an Unsupervised Combined Articial Neural Networks (UCANN) method. Firstly, The trial solutions of the differential equations are written in the form of feed-forward neural networks cont...

2017
K. PARAND H. YOUSEFI M. DELKHOSH K. Parand H. Yousefi M. Delkhosh

In this paper, a numerical method based on the hybrid of the quasilinearization method (QLM) and the collocation method is suggested for solving wellknown nonlinear Lane-Emden-type equations as singular initial value problems, which model many phenomena in mathematical physics and astrophysics. First, by using the QLM method, the nonlinear ordinary differential equation is converted into a sequ...

Journal: :iranian journal of numerical analysis and optimization 0

in this paper, an analytical method called the parametric iteration method (pim) is presented for solving the second-order singular ivps of lane-emden type, and its local convergence is discussed. since it is often useful to have an approximate analytical solution to describe the lane-emden type equa- tions, especially for ones where the closed-form solutions do not exist at all, therefore, an ...

2010
Ben Muatjetjeja Chaudry Masood Khalique C. M. Khalique

Systems of Lane-Emden equations arise in the modelling of several physical phenomena, such as pattern formation, population evolution and chemical reactions. In this paper we construct Noether and partial Noether operators corresponding to a Lagrangian and a partial Lagrangian for a coupled Lane-Emden system. Then the first integrals with respect to Noether and partial Noether operators are obt...

2015
PRAKASH KUMAR SAHU SANTANU SAHA RAY

A numerical method based on Legendre multi-wavelets is applied for solving Lane-Emden equations which form Volterra integro-differential equations. The Lane-Emden equations are converted to Volterra integro-differential equations and then are solved by the Legendre multi-wavelet method. The properties of Legendre multi-wavelets are first presented. The properties of Legendre multi-wavelets are ...

2009
KOUROSH PARAND MEHDI SHAHINI

Lane-Emden equation is a nonlinear singular equation that plays an important role in the astrophysics. In this paper, we have applied the collocation method based on rational Chebyshev functions to solve Lane-Emden type equations. The method reduces solving the nonlinear ordinary differential equation to solving a system of nonlinear algebraic equations. The comparison of the results with the o...

Journal: :journal of mahani mathematical research center 0
bahman ghazanfari, lorestan university, nahid yari lorestan university

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 di erential equations by using one iterationonly.

نمودار تعداد نتایج جستجو در هر سال

با کلیک روی نمودار نتایج را به سال انتشار فیلتر کنید