Adomian decomposition method by Gegenbauer and Jacobi polynomials
Adomian decomposition method by Gegenbauer and Jacobi polynomials
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DOI：
10.1080/00207160.2011.611503
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发表时间：
2011-11
影响因子：
1.8
通讯作者：
Yücel Çenesiz;A. Kurnaz
中科院分区：
文献类型：
--
作者：
Yücel Çenesiz;A. Kurnaz
本文使用[–1,1]区间上的正交多项式来修改Adomian分解方法（ADM）。采用Gegenbauer和Jacobi多项式改进ADM，并与使用Chebyshev和Legendre多项式的方法进行比较。为了显示所开发方法的效率，通过所提出的方法解决了一些线性和非线性示例，并将结果与 ADM 的其他修改以及问题的精确解进行了比较。
In this paper, orthogonal polynomials on [–1,1] interval are used to modify the Adomian decomposition method (ADM). Gegenbauer and Jacobi polynomials are employed to improve the ADM and compared with the method of using Chebyshev and Legendre polynomials. To show the efficiency of the developed method, some linear and nonlinear examples are solved by the proposed method, results are compared with other modifications of the ADM and the exact solutions of the problems.