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Numerical study of two-dimensional Volterra integral equations by RDTM and comparison with DTM

Abazari, Reza and Kilicman, Adem (2013) Numerical study of two-dimensional Volterra integral equations by RDTM and comparison with DTM. Abstract and Applied Analysis, 2013 . art. no. 929478. pp. 1-10. ISSN 1085-3375; ESSN: 1687-0409

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Official URL: http://dx.doi.org/10.1155/2013/929478

Abstract

The two-dimensional Volterra integral equations are solved using more recent semianalytic method, the reduced differential transform method (the so-called RDTM), and compared with the differential transform method (DTM). The concepts of DTM and RDTM are briefly explained, and their application to the two-dimensional Volterra integral equations is studied. The results obtained by DTM and RDTM together are compared with exact solution. As an important result, it is depicted that the RDTM results are more accurate in comparison with those obtained by DTM applied to the same Volterra integral equations. The numerical results reveal that the RDTM is very effective, convenient, and quite accurate compared to the other kind of nonlinear integral equations. It is predicted that the RDTM can be found widely applicable in engineering sciences.

Item Type:Article
Keyword:Differential transform method ; Reduced differential transform method; Volterra integral equations.
Faculty or Institute:Faculty of Science
Institute for Mathematical Research
Publisher:Hindawi Publishing Corporation
DOI Number:10.1155/2013/929478
ID Code:30134
Deposited By: Umikalthom Abdullah
Deposited On:02 Jul 2014 10:37
Last Modified:12 Feb 2016 16:50

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