论文标题
通过整数指数的非线性功能的修改ADOMIAN多项式
Modified Adomian Polynomial for Nonlinear Functional with Integer Exponent
论文作者
论文摘要
成功应用Adomian分解方法（ADM）在解决非线性普通和部分微分方程中的问题中严格取决于Adomian多项式。在本文中，我们为具有索引作为整数的非线性多项式函数提供了一个简单的已知ADOMIAN多项式。分别测试了简单的修改ADOMIAN多项式的非线性功能，该功能分别具有索引3和4。结果显示出了出色的确切结果，与阿托米安本人给出的结果。同样，在混凝土问题上进一步测试了修饰的简单ADOMIAN多项式，数值结果与精确解决方案完全相同。大规模计算和评估是通过枫软件包进行的。
Successful application of Adomian decomposition method (ADM) in solving problems in nonlinear ordinary and partial differential equations depend strictly on the Adomian polynomial. In this paper, we present a simple modified known Adomian polynomial for nonlinear polynomial functionals with index as integers. The simple modified Adomian polynomial was tested for nonlinear functional with index 3 and 4 respectively. The result shows remarkable exact results as that given by Adomian himself. Also, the modifed simple Adomian polynomial was further tested on concrete problems and the numerical results were exactly the same as the exact solution. The large scale computation and evaluation was made possible by Maple software package.
