NUMERICAL STUDY OF NONLINEAR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS BY ADOMIAN'S METHOD†
The main purpose of this paper is to consider Adomian's decomposition method in non-linear Volterra integro-differential equations. The advantages of this method, compared with the recent numerical techniques (in particular the implicitly linear collocation methods) , and the convergence of Ado...
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| Format: | Article |
|---|---|
| Language: | English |
| Published: |
University of Tehran
1998-03-01
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| Series: | Journal of Sciences, Islamic Republic of Iran |
| Online Access: | https://jsciences.ut.ac.ir/article_31365_bec3005aa1516be1889585f6ab6e0f68.pdf |
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| _version_ | 1849387345435951104 |
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| collection | DOAJ |
| description | The main purpose of this paper is to consider Adomian's decomposition method
in non-linear Volterra integro-differential equations. The advantages of this method,
compared with the recent numerical techniques (in particular the implicitly linear
collocation methods) , and the convergence of Adomian's method applied to such
nonlinear integro-differential equations are discussed. Finally, by using various
examples, the accuracy of this method will be shown |
| format | Article |
| id | doaj-art-d43c4d247d46431db105892c231e8e5c |
| institution | Kabale University |
| issn | 1016-1104 2345-6914 |
| language | English |
| publishDate | 1998-03-01 |
| publisher | University of Tehran |
| record_format | Article |
| series | Journal of Sciences, Islamic Republic of Iran |
| spelling | doaj-art-d43c4d247d46431db105892c231e8e5c2025-08-20T03:53:51ZengUniversity of TehranJournal of Sciences, Islamic Republic of Iran1016-11042345-69141998-03-019131365NUMERICAL STUDY OF NONLINEAR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS BY ADOMIAN'S METHOD†The main purpose of this paper is to consider Adomian's decomposition method in non-linear Volterra integro-differential equations. The advantages of this method, compared with the recent numerical techniques (in particular the implicitly linear collocation methods) , and the convergence of Adomian's method applied to such nonlinear integro-differential equations are discussed. Finally, by using various examples, the accuracy of this method will be shownhttps://jsciences.ut.ac.ir/article_31365_bec3005aa1516be1889585f6ab6e0f68.pdf |
| spellingShingle | NUMERICAL STUDY OF NONLINEAR
VOLTERRA INTEGRO-DIFFERENTIAL
EQUATIONS BY ADOMIAN'S METHOD† Journal of Sciences, Islamic Republic of Iran |
| title | NUMERICAL STUDY OF NONLINEAR
VOLTERRA INTEGRO-DIFFERENTIAL
EQUATIONS BY ADOMIAN'S METHOD† |
| title_full | NUMERICAL STUDY OF NONLINEAR
VOLTERRA INTEGRO-DIFFERENTIAL
EQUATIONS BY ADOMIAN'S METHOD† |
| title_fullStr | NUMERICAL STUDY OF NONLINEAR
VOLTERRA INTEGRO-DIFFERENTIAL
EQUATIONS BY ADOMIAN'S METHOD† |
| title_full_unstemmed | NUMERICAL STUDY OF NONLINEAR
VOLTERRA INTEGRO-DIFFERENTIAL
EQUATIONS BY ADOMIAN'S METHOD† |
| title_short | NUMERICAL STUDY OF NONLINEAR
VOLTERRA INTEGRO-DIFFERENTIAL
EQUATIONS BY ADOMIAN'S METHOD† |
| title_sort | numerical study of nonlinear volterra integro differential equations by adomian s method† |
| url | https://jsciences.ut.ac.ir/article_31365_bec3005aa1516be1889585f6ab6e0f68.pdf |