An efficient numerical technique for Lane–Emden–Fowler boundary value problems: Bernstein collocation method

被引：0
作者：
Julee Shahni
Randhir Singh
机构：
[1] Birla Institute of Technology Mesra,Department of Mathematics
来源：
The European Physical Journal Plus | / 135卷
关键词：
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we propose an efficient numerical technique for numerical solutions of the equivalent integral form of Emden–Fowler type boundary value problems (BVPs), which model many phenomena in mathematical physics and astrophysics. The Bernstein collocation method is used to convert the integral equation into a system of nonlinear equations. The iterative method is applied to solve the system numerically. The error analysis of the proposed method is provided. Several examples are provided to demonstrate the accuracy, applicability, and efficiency of the present method.
引用
收藏
相关论文
共 129 条
[1]  
Chandrasekhar S(1939)An introduction to the study of stellar structure Ciel et Terre 55 412-263
[2]  
McElwain D(1978)A re-examination of oxygen diffusion in a spherical cell with Michaelis-Menten oxygen uptake kinetics J. Theor. Biol. 71 255-476
[3]  
Gray B(1980)The distribution of heat sources in the human head—theoretical considerations J. Theor. Biol. 82 473-541
[4]  
Rachnková I(2007)On a singular boundary value problem arising in the theory of shallow membrane caps J. Math. Anal. Appl. 332 523-36
[5]  
Koch O(1952)On the solution of the Poisson–Boltzmann equation with application to the theory of thermal explosions J. Chem. Phys. 20 1795-350
[6]  
Pulverer G(1975)Numerical methods for singular boundary value problems SIAM J. Numer. Anal. 12 13-326
[7]  
Weinmuller E(1982)Finite difference methods and their convergence for a class of singular two point boundary value problems Numer. Math. 39 341-376
[8]  
Chambre P(1986)Order BIT Numer. Math. 26 318-876
[9]  
Russell R(1986) method for a singular two-point boundary value problem Numer. Math. 50 363-97
[10]  
Shampine L(1988)Spline finite difference methods for singular two point boundary value problems BIT Numer. Math. 28 867-63
12345678910