The variational-iteration method to solve the nonlinear Boltzmann equation

被引：13

作者：

Abulwafa, Essam M. ^{[1
]}

Abdou, Mohammed A. ^{[1
]}

Mahmoud, Aber H. ^{[1
]}

机构：

[1] Mansoura Univ, Fac Sci, Dept Phys, Mansoura 35516, Egypt

来源：

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2008年 / 63卷 / 3-4期

关键词：

time-dependent nonlinear Boltzmann equation; homogeneous and inhomogeneous media; moments of distribution function; variational-iteration method;

D O I：

10.1515/zna-2008-3-403

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

The time-dependent nonlinear Boltzmann equation, which describes the time evolution of a single-particle distribution in a dilute gas of particles interacting only through binary collisions, is considered for spatially homogeneous and inhomogeneous media without external force and energy source. The nonlinear Boltzmann equation is converted to a nonlinear partial differential equation for the generating function of the moments of the distribution function. The variational-iteration method derived by He is used to solve the nonlinear differential equation of the generating function. The moments for both homogeneous and inhomogeneous media are calculated and represented graphically as functions of space and time. The distribution function is calculated from its moments using the cosine Fourier transformation. The distribution functions for the homogeneous and inhomogeneous media are represented graphically as functions of position and time.

引用

页码：131 / 139

页数：9

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