Two-dimensional differential transform method, Adomian's decomposition method, and variational iteration method for partial differential equations

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dc.contributor.authorBildik N.
dc.contributor.authorKonuralp A.
dc.date.accessioned2024-07-22T08:23:09Z
dc.date.available2024-07-22T08:23:09Z
dc.date.issued2006
dc.description.abstractThe implementation of the two-dimensional differential transform method (DTM), Adomian's decomposition method (ADM), and the variational iteration method (VIM) in the mathematical applications of partial differential equations is examined in this paper. The VIM has been found to be particularly valuable as a tool for the solution of differential equations in engineering, science, and applied mathematics. The three methods are compared and it is shown that the VIM is more efficient and effective than the ADM and the DTM, and also converges to its exact solution more rapidly. Numerical solutions of two examples are calculated and the results are presented in tables and figures.
dc.identifier.DOI-ID10.1080/00207160601173407
dc.identifier.issn10290265
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/19390
dc.language.isoEnglish
dc.subjectConvergence of numerical methods
dc.subjectIterative methods
dc.subjectMathematical transformations
dc.subjectVariational techniques
dc.subjectAdomian's decomposition method (ADM)
dc.subjectDifferential transform method (DTM)
dc.subjectVariational iteration method (VIM)
dc.subjectPartial differential equations
dc.titleTwo-dimensional differential transform method, Adomian's decomposition method, and variational iteration method for partial differential equations
dc.typeArticle

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