Numerical Study of Two-Dimensional Volterra Integral Equations by RDTM and Comparison with DTM
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-27
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Abazari, Reza& Kiliçman, Adem. 2013. Numerical Study of Two-Dimensional Volterra Integral Equations by RDTM and Comparison with DTM. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-508987
Modern Language Association (MLA)
Abazari, Reza& Kiliçman, Adem. Numerical Study of Two-Dimensional Volterra Integral Equations by RDTM and Comparison with DTM. Abstract and Applied Analysis No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-508987
American Medical Association (AMA)
Abazari, Reza& Kiliçman, Adem. Numerical Study of Two-Dimensional Volterra Integral Equations by RDTM and Comparison with DTM. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-508987
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-508987