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Jang, Bongsoo
Computational Mathematical Science Lab (CMS Lab)
Research Interests
  • Numerical analysis, dynamics, fractional systems, data sciences

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Solving linear and nonlinear initial value problems by the projected differential transform method

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Title
Solving linear and nonlinear initial value problems by the projected differential transform method
Author
Jang, Bongsoo
Issue Date
2010-05
Publisher
ELSEVIER SCIENCE BV
Citation
COMPUTER PHYSICS COMMUNICATIONS, v.181, no.5, pp.848 - 854
Abstract
In this work, we propose a novel computational algorithm for solving linear and nonlinear initial value problems by using the modified version of differential transform method (DTM), which is called the projected differential transform method (PDTM). The PDTM can be easily applied to the initial value problems with less computational work. For the several illustrative examples, the computational results are compared with those obtained by many other methods; the Adomian decomposition, the variational iteration and the spline method. For all examples, the PDTM provides exact solutions. It has been shown that the PDTM is a reliable algorithm in obtaining analytic as well as approximate solution for the initial value problems.
URI
https://scholarworks.unist.ac.kr/handle/201301/3350
URL
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=77649232466
DOI
10.1016/j.cpc.2009.12.020
ISSN
0010-4655
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MTH_Journal Papers
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