A reliable modification of Adomian decomposition method

A reliable modification of Adomian decomposition method
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DOI:
10.1016/s0096-3003(98)10024-3
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发表时间:
1999-07-01
影响因子:
4
通讯作者:
Wazwaz, AM
Wazwaz, AM
中科院分区:
数学2区
文献类型:
--
作者:
Wazwaz, AM

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在本文中,我们提出了一个强大的修改Adomian分解方法,将加快快速收敛的级数解。通过实例验证了改进方法的有效性。在所有的微分和积分方程的情况下,我们得到了优良的性能从修改后的算法。这种修改可能会导致一个有前途的方法,在应用科学的许多应用。(C)1999 Elsevier Science Inc. All rights reserved.
In this paper we propose a powerful modification of Adomian decomposition method that will accelerate the rapid convergence of the series solution. The validity of the modified technique is verified through illustrative examples. In all cases of differential and integral equations, we obtained excellent performance from the modified algorithm. The modification could lead to a promising approach for many applications in applied sciences. (C) 1999 Elsevier Science Inc. All rights reserved.