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Author

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
Keywords
Adomian decomposition; Approximate solution; Computational algorithm; Computational results; Computational work; Differential transform method; Exact solution; Illustrative examples; Nonlinear initial-value problems; Spline methods
Issue Date
201005
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.
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DOI
http://dx.doi.org/10.1016/j.cpc.2009.12.020
ISSN
0010-4655
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