一类Volterra捕食者-食饵模型的解析解

文中介绍了Adomian分解法,并用这种方法来求一类Volterra模型的定量行为,同时讨论了解的有关性质.研究工作表明,该方法具有相当广泛的适应性.     

逆算符理论方法在求解一维相对论振子振动方程中的应用

应用逆算符理论方法－Ａｄｏｍｉａｎ分解法求解一维相对论振子的振动方程，得到１０阶逼近解     

一种半导体器件模拟的新方法

文章提出了一种半导体器件模拟的新方法,这种新方法将Adomian的变量分解思想用于强耦合、强非线性的半导体器件基本方程组的求解中.     

Decomposition method for solving parabolic equations in finite domains

INTRODUCTION The decomposition method was introduced by Adomian(1989;1994)in the1980’s for solving linear and nonlinear functional equations(algebraic,dif-ferential,partial differential equations(PDEs)and systems,integral,differential-delay,integro-differen-tial equations,etc.)(Adomian,1989;1994;Guellal and Cherruault,1995;Adomian et al.,1996;Laffez and Abbaoui,1996;Ndour et al.,1996;Guellal et al.,1997;Abbaoui and Cherruault,1999;Adjedj,1999).This method leads to computable,accurat…     

Variational iteration method for solving Fokker-Planck equation

In this paper variational iteration method is implemented to solve linear and nonlinear Fokker-Planck equations, and some similar equations. To illustrate the simplicity and reliability of the method some examples are provided and comparisons are made between the variational iteration method and the Adomian decomposition method. Comparison shows that variational iteration method is more effective and convenient to use and overcomes the difficulty arising in calculating Adomian polynomials. Also, this method can successfully be applied to a large class of problems.     

高阶非线性薛定谔方程的Adomian分解

利用Maple计算了Adomian多项式获得的序列解,由此,给出了高阶非线性薛定谔方程的Adomian分解法。结果说明,利用Adomian分解可以得到非线性问题的近似解。     

The solution of the Bagley-Torvik equation with the generalized Taylor collocation method

In this paper, the Bagley-Torvik equation, which has an important role in fractional calculus, is solved by generalizing the Taylor collocation method. The proposed method has a new algorithm for solving fractional differential equations. This new method has many advantages over variety of numerical approximations for solving fractional differential equations. To assess the effectiveness and preciseness of the method, results are compared with other numerical approaches. Since the Bagley-Torvik equation represents a general form of the fractional problems, its solution can give many ideas about the solution of similar problems in fractional differential equations.