Reduced Differential Transform Method for Partial Differential Equations

Reduced Differential Transform Method for Partial Differential Equations
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DOI:
10.1515/ijnsns.2009.10.6.741
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发表时间:
2009
影响因子:
1.5
通讯作者:
Y. Keskin;G. Oturanç
Y. Keskin;G. Oturanç
中科院分区:
工程技术4区
文献类型:
--
作者:
Y. Keskin;G. Oturanç

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近年来,微分变换方法(DTM)已被用于求解各种偏微分方程。本文针对微分变换法计算复杂的缺点,提出了一种简化微分变换法(RDTM)。与一些已知技术的比较表明,本方法是有效的和强大的。最后,通过三个数学物理测试问题的讨论,说明了约化微分变换方法的有效性和性能。
Recently differential transform method (DTM) has been used to solve various partial differential equations. In this paper, an alternative approach called the reduced differential transform method (RDTM) is presented to overcome the demerit of complex calculation of differential transform method. Comparing the methodology with some known techniques shows that the present approach is effective and powerful. In addition, three test problems of mathematical physics are discussed to illustrate the effectiveness and the performance of the reduced differential transform method.