Numerical study of two-dimensional Volterra integral equations by RDTM and comparison with DTM
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 th...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Hindawi Publishing Corporation
2013
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| Online Access: | http://psasir.upm.edu.my/id/eprint/30134/ http://psasir.upm.edu.my/id/eprint/30134/1/30134.pdf |
| _version_ | 1848846591966838784 |
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| author | Abazari, Reza Kilicman, Adem |
| author_facet | Abazari, Reza Kilicman, Adem |
| author_sort | Abazari, Reza |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-15T09:05:09Z |
| format | Article |
| id | upm-30134 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:05:09Z |
| publishDate | 2013 |
| publisher | Hindawi Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-301342017-10-19T05:35:07Z http://psasir.upm.edu.my/id/eprint/30134/ Numerical study of two-dimensional Volterra integral equations by RDTM and comparison with DTM Abazari, Reza Kilicman, Adem 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. Hindawi Publishing Corporation 2013 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/30134/1/30134.pdf 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 https://www.hindawi.com/journals/aaa/2013/929478/abs/ 10.1155/2013/929478 |
| spellingShingle | Abazari, Reza Kilicman, Adem Numerical study of two-dimensional Volterra integral equations by RDTM and comparison with DTM |
| title | Numerical study of two-dimensional Volterra integral equations by RDTM and comparison with DTM |
| title_full | Numerical study of two-dimensional Volterra integral equations by RDTM and comparison with DTM |
| title_fullStr | Numerical study of two-dimensional Volterra integral equations by RDTM and comparison with DTM |
| title_full_unstemmed | Numerical study of two-dimensional Volterra integral equations by RDTM and comparison with DTM |
| title_short | Numerical study of two-dimensional Volterra integral equations by RDTM and comparison with DTM |
| title_sort | numerical study of two-dimensional volterra integral equations by rdtm and comparison with dtm |
| url | http://psasir.upm.edu.my/id/eprint/30134/ http://psasir.upm.edu.my/id/eprint/30134/ http://psasir.upm.edu.my/id/eprint/30134/ http://psasir.upm.edu.my/id/eprint/30134/1/30134.pdf |