The decomposition method applied to Chandrasekhar H-equation

被引：17
作者：
Deeba, EY
Khuri, SA
机构：
[1] Dept. of Comp. and Math. Sciences, University of Houston-Downtown, Houston, TX 77002
来源：
APPLIED MATHEMATICS AND COMPUTATION | 1996年 / 77卷 / 01期
关键词：
D O I：
10.1016/0096-3003(95)00188-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, Adomian's decomposition method is applied to the nonlinear Chandrasekhar H-equation. The solution is expressed as an infinite series. It is shown that two or three iterations are sufficient to obtain good approximation of the exact solution. Adomian's method has been illustrated by considering some particular cases of this nonlinear integral equation that are of physical interest.
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页码：67 / 78
页数：12
相关论文
共 13 条
[1]   AN INVESTIGATION OF THE ASYMPTOTIC DECOMPOSITION METHOD FOR NONLINEAR EQUATIONS IN PHYSICS [J].
ADOMIAN, G .
APPLIED MATHEMATICS AND COMPUTATION, 1987, 24 (01) :1-17
[2]   A REVIEW OF THE DECOMPOSITION METHOD AND SOME RECENT RESULTS FOR NONLINEAR EQUATIONS [J].
ADOMIAN, G .
MATHEMATICAL AND COMPUTER MODELLING, 1990, 13 (07) :17-43
[3]   A NEW APPROACH TO NONLINEAR PARTIAL-DIFFERENTIAL EQUATIONS [J].
ADOMIAN, G .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1984, 102 (02) :420-434
[4]  
Adomian G., 1989, Nonlinear Stochastis System Theory and Applications to Physics
[5]  
Busbridge W., 1962, T AM MATH SOC, V105, P112, DOI 10.2307/1993922
[6]  
Chandrasekhar S., 1960, Radiative transfer
[7]   CONVERGENCE OF ADOMIAN METHOD [J].
CHERRUAULT, Y .
KYBERNETES, 1989, 18 (02) :31-38
[8]   NEW RESULTS FOR CONVERGENCE OF ADOMIAN METHOD APPLIED TO INTEGRAL-EQUATIONS [J].
CHERRUAULT, Y ;
SACCOMANDI, G ;
SOME, B .
MATHEMATICAL AND COMPUTER MODELLING, 1992, 16 (02) :85-93
[9]   A NEW APPROACH TO THE WAVE-EQUATION - AN APPLICATION OF THE DECOMPOSITION METHOD [J].
DATTA, BK .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1989, 142 (01) :6-12
[10]   A TECHNIQUE FOR APPROXIMATE SOLUTIONS TO SCHRODINGER-LIKE EQUATIONS [J].
DATTA, BK .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1990, 20 (01) :61-65
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