ALGEBRAIC NONLINEARITY IN VOLTERRA-HAMMERSTEIN EQUATIONS
Here a posteriori error estimate for the numerical solution of nonlinear Voltena- Hammerstein equations is given. We present an error upper bound for nonlinear Voltena-Hammastein integral equations, in which the form of nonlinearity is algebraic and develop a posteriori error estimate for the recen...
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| Format: | Article |
|---|---|
| Language: | English |
| Published: |
University of Tehran
1999-03-01
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| Series: | Journal of Sciences, Islamic Republic of Iran |
| Online Access: | https://jsciences.ut.ac.ir/article_31353_09a6a58c2bf7fe986feb7599569288ca.pdf |
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| collection | DOAJ |
| description | Here a posteriori error estimate for the numerical solution of nonlinear Voltena-
Hammerstein equations is given. We present an error upper bound for nonlinear
Voltena-Hammastein integral equations, in which the form of nonlinearity is
algebraic and develop a posteriori error estimate for the recently proposed method of
Brunner for these problems (the implicitly linear collocation method).We also
generalize this upper bound for nonlinear Volterra integro-differential and Volterra-
Hammerstein integral equations of mixed type . Finally, several numerical examples
are gken to show effectiveness of these bounds |
| format | Article |
| id | doaj-art-c87529bbda9640b8a58cf82d7f7dc8e4 |
| institution | OA Journals |
| issn | 1016-1104 2345-6914 |
| language | English |
| publishDate | 1999-03-01 |
| publisher | University of Tehran |
| record_format | Article |
| series | Journal of Sciences, Islamic Republic of Iran |
| spelling | doaj-art-c87529bbda9640b8a58cf82d7f7dc8e42025-08-20T02:25:51ZengUniversity of TehranJournal of Sciences, Islamic Republic of Iran1016-11042345-69141999-03-0110131353ALGEBRAIC NONLINEARITY IN VOLTERRA-HAMMERSTEIN EQUATIONSHere a posteriori error estimate for the numerical solution of nonlinear Voltena- Hammerstein equations is given. We present an error upper bound for nonlinear Voltena-Hammastein integral equations, in which the form of nonlinearity is algebraic and develop a posteriori error estimate for the recently proposed method of Brunner for these problems (the implicitly linear collocation method).We also generalize this upper bound for nonlinear Volterra integro-differential and Volterra- Hammerstein integral equations of mixed type . Finally, several numerical examples are gken to show effectiveness of these boundshttps://jsciences.ut.ac.ir/article_31353_09a6a58c2bf7fe986feb7599569288ca.pdf |
| spellingShingle | ALGEBRAIC NONLINEARITY IN
VOLTERRA-HAMMERSTEIN EQUATIONS Journal of Sciences, Islamic Republic of Iran |
| title | ALGEBRAIC NONLINEARITY IN
VOLTERRA-HAMMERSTEIN EQUATIONS |
| title_full | ALGEBRAIC NONLINEARITY IN
VOLTERRA-HAMMERSTEIN EQUATIONS |
| title_fullStr | ALGEBRAIC NONLINEARITY IN
VOLTERRA-HAMMERSTEIN EQUATIONS |
| title_full_unstemmed | ALGEBRAIC NONLINEARITY IN
VOLTERRA-HAMMERSTEIN EQUATIONS |
| title_short | ALGEBRAIC NONLINEARITY IN
VOLTERRA-HAMMERSTEIN EQUATIONS |
| title_sort | algebraic nonlinearity in volterra hammerstein equations |
| url | https://jsciences.ut.ac.ir/article_31353_09a6a58c2bf7fe986feb7599569288ca.pdf |