英语翻译Recently a great deal of interest has been focused on th
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英语翻译
Recently a great deal of interest has been focused on the application of Ado-
mian’s decomposition method to solve a wide variety of stochastic and de-
terministic problems .Although the Adomian’s goal is to find a method
to unify linear and nonlinear,ordinary or partial differential equations for
solving initial and boundary value problems,we shall deal in the following
only with linear second order differential equations.
Our aim here is to compare the decomposition method with the classical
methods for solving differential equations in order to obtain a better under-
standing of it.Because the special functions are extremely useful tools for
obtaining closed form as well as series solutions to a variety of problems aris-
ing in science and engineering we tryed to reobtain the known results by the
new method.We found that with a slight modification the method works
also in this case.
Recently a great deal of interest has been focused on the application of Ado-
mian’s decomposition method to solve a wide variety of stochastic and de-
terministic problems .Although the Adomian’s goal is to find a method
to unify linear and nonlinear,ordinary or partial differential equations for
solving initial and boundary value problems,we shall deal in the following
only with linear second order differential equations.
Our aim here is to compare the decomposition method with the classical
methods for solving differential equations in order to obtain a better under-
standing of it.Because the special functions are extremely useful tools for
obtaining closed form as well as series solutions to a variety of problems aris-
ing in science and engineering we tryed to reobtain the known results by the
new method.We found that with a slight modification the method works
also in this case.
![英语翻译Recently a great deal of interest has been focused on th](/uploads/image/z/97063-7-3.jpg?t=%E8%8B%B1%E8%AF%AD%E7%BF%BB%E8%AF%91Recently+a+great+deal+of+interest+has+been+focused+on+th)
最近许多兴趣被集中到以解决众多随机的决定性的问题为目的的Adomian分解法的应用上来.尽管Adomian的目标是找到一个可以统一线性和非线性·普通或偏微分方程·解决初始和边界值问题的方法,我们只有用线性二阶微分方程才能解决以下问题.
我们在这里的目标是将分解方法和传统解决不同微分方程的方法做对比以获得对分解方法的更好的理解.因为特殊的函数是非常有用的获得封闭形式以及解决一系列出现在科学和工程方面的各种各样的问题的工具,我们尽力用新方法来重新得到已知的结果.我们发现还在这种情况下稍微修改这个方法是可行的.
我们在这里的目标是将分解方法和传统解决不同微分方程的方法做对比以获得对分解方法的更好的理解.因为特殊的函数是非常有用的获得封闭形式以及解决一系列出现在科学和工程方面的各种各样的问题的工具,我们尽力用新方法来重新得到已知的结果.我们发现还在这种情况下稍微修改这个方法是可行的.
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