A Comparison between Adomian Decomposition and Tau Methods
We present a comparison between Adomian decomposition method (ADM) and Tau method (TM) for the integro-differential equations with the initial or the boundary conditions. The problem is solved quickly, easily, and elegantly by ADM. The numerical results on the examples are shown to validate the prop...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/621019 |
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| _version_ | 1849411803589640192 |
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| author | Necdet Bildik Mustafa Inc |
| author_facet | Necdet Bildik Mustafa Inc |
| author_sort | Necdet Bildik |
| collection | DOAJ |
| description | We present a comparison between Adomian decomposition method (ADM) and Tau method (TM) for the
integro-differential equations with the initial or the boundary conditions. The problem is solved quickly, easily, and elegantly by ADM. The numerical
results on the examples are shown to validate the proposed ADM as an effective numerical method to solve the integro-differential equations. The numerical results show that ADM method is very effective and convenient for solving differential equations than Tao method. |
| format | Article |
| id | doaj-art-62fdd3f46e8541e9943b34bd2d2ac3a2 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-62fdd3f46e8541e9943b34bd2d2ac3a22025-08-20T03:34:40ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/621019621019A Comparison between Adomian Decomposition and Tau MethodsNecdet Bildik0Mustafa Inc1Department of Mathematics, Science Faculty, Celal Bayar University, 45030 Manisa, TurkeyDepartment of Mathematics, Science Faculty, Firat University, 23119 Elazig, TurkeyWe present a comparison between Adomian decomposition method (ADM) and Tau method (TM) for the integro-differential equations with the initial or the boundary conditions. The problem is solved quickly, easily, and elegantly by ADM. The numerical results on the examples are shown to validate the proposed ADM as an effective numerical method to solve the integro-differential equations. The numerical results show that ADM method is very effective and convenient for solving differential equations than Tao method.http://dx.doi.org/10.1155/2013/621019 |
| spellingShingle | Necdet Bildik Mustafa Inc A Comparison between Adomian Decomposition and Tau Methods Abstract and Applied Analysis |
| title | A Comparison between Adomian Decomposition and Tau Methods |
| title_full | A Comparison between Adomian Decomposition and Tau Methods |
| title_fullStr | A Comparison between Adomian Decomposition and Tau Methods |
| title_full_unstemmed | A Comparison between Adomian Decomposition and Tau Methods |
| title_short | A Comparison between Adomian Decomposition and Tau Methods |
| title_sort | comparison between adomian decomposition and tau methods |
| url | http://dx.doi.org/10.1155/2013/621019 |
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