Accurate approximate solution of classes of boundary value problems using modified differential transform method
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Date
2022Author
Al-Ahmad, ShadiAnakira, Nidal Ratib
Mamat, Mustafa
Jameel, Ali Fareed
Alahmad, Rami
Alomari, Abedel-Karrem
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Al-Ahmad, S., Anakira, N. R., Mamat, M., Jameel, A. F., Alahmad, R. & Alomari, A.-K. (2022). Accurate approximate solution of classes of boundary value problems using modified differential transform method. Accurate approximate solution of classes of boundary value problems using modified differential transform method, 12(4), 1228-1238.Abstract
In this paper, a numerical scheme so-called modified differential transformation method (MDTM) based on differential transformation method (DTM), Laplace transform and Pad´e approximation will be used to obtain accurate approximate solution for a class of boundary value problems (BVP’s). The MDTM is employed as an alternative technique to overcome some difficulties in the behavior of the solution and to be valid for a large region. The numerical results obtained demonstrate the applicability and validity of this technique. Numerical comparison is made with existing exact solution.
Source
TWMS Journal Of Applied And Engineering MathematicsVolume
12Issue
4URI
https://hdl.handle.net/11729/4934http://jaem.isikun.edu.tr/web/index.php/archive/117-vol12no4/906
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