Numerical Solution for Linear Fredholm Integro-Differential Equation Using Touchard Polynomials
A new method based on the Touchard polynomials (TPs) was presented for the numerical solution of the linear Fredholm integro-differential equation (FIDE) of the first order and second kind with condition. The derivative and integration of the (TPs) were simply obtained. The convergence analysis of t...
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| Format: | Article |
| Language: | Arabic |
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College of Science for Women, University of Baghdad
2021-06-01
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| Series: | Baghdad Science Journal |
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| Online Access: | https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/4769 |
| _version_ | 1819004308480327680 |
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| author | Jalil Talab Abdullah |
| author_facet | Jalil Talab Abdullah |
| author_sort | Jalil Talab Abdullah |
| collection | DOAJ |
| description | A new method based on the Touchard polynomials (TPs) was presented for the numerical solution of the linear Fredholm integro-differential equation (FIDE) of the first order and second kind with condition. The derivative and integration of the (TPs) were simply obtained. The convergence analysis of the presented method was given and the applicability was proved by some numerical examples. The results obtained in this method are compared with other known results. |
| first_indexed | 2024-12-20T23:34:50Z |
| format | Article |
| id | doaj.art-144fdf9dc1a145538c416d1eafd96804 |
| institution | Directory Open Access Journal |
| issn | 2078-8665 2411-7986 |
| language | Arabic |
| last_indexed | 2024-12-20T23:34:50Z |
| publishDate | 2021-06-01 |
| publisher | College of Science for Women, University of Baghdad |
| record_format | Article |
| series | Baghdad Science Journal |
| spelling | doaj.art-144fdf9dc1a145538c416d1eafd968042022-12-21T19:23:13ZaraCollege of Science for Women, University of BaghdadBaghdad Science Journal2078-86652411-79862021-06-0118210.21123/bsj.2021.18.2.0330Numerical Solution for Linear Fredholm Integro-Differential Equation Using Touchard PolynomialsJalil Talab Abdullah0Wasit UniversityA new method based on the Touchard polynomials (TPs) was presented for the numerical solution of the linear Fredholm integro-differential equation (FIDE) of the first order and second kind with condition. The derivative and integration of the (TPs) were simply obtained. The convergence analysis of the presented method was given and the applicability was proved by some numerical examples. The results obtained in this method are compared with other known results.https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/4769Keywords: Linear Fredholm Integro-Differential Equation, Touchard Polynomials. |
| spellingShingle | Jalil Talab Abdullah Numerical Solution for Linear Fredholm Integro-Differential Equation Using Touchard Polynomials Baghdad Science Journal Keywords: Linear Fredholm Integro-Differential Equation, Touchard Polynomials. |
| title | Numerical Solution for Linear Fredholm Integro-Differential Equation Using Touchard Polynomials |
| title_full | Numerical Solution for Linear Fredholm Integro-Differential Equation Using Touchard Polynomials |
| title_fullStr | Numerical Solution for Linear Fredholm Integro-Differential Equation Using Touchard Polynomials |
| title_full_unstemmed | Numerical Solution for Linear Fredholm Integro-Differential Equation Using Touchard Polynomials |
| title_short | Numerical Solution for Linear Fredholm Integro-Differential Equation Using Touchard Polynomials |
| title_sort | numerical solution for linear fredholm integro differential equation using touchard polynomials |
| topic | Keywords: Linear Fredholm Integro-Differential Equation, Touchard Polynomials. |
| url | https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/4769 |
| work_keys_str_mv | AT jaliltalababdullah numericalsolutionforlinearfredholmintegrodifferentialequationusingtouchardpolynomials |