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: | English |
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University of Baghdad, College of Science for Women
2021-06-01
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| Series: | مجلة بغداد للعلوم |
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| Online Access: | https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/4769 |
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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. |
| format | Article |
| id | doaj-art-144fdf9dc1a145538c416d1eafd96804 |
| institution | Kabale University |
| issn | 2078-8665 2411-7986 |
| language | English |
| publishDate | 2021-06-01 |
| publisher | University of Baghdad, College of Science for Women |
| record_format | Article |
| series | مجلة بغداد للعلوم |
| spelling | doaj-art-144fdf9dc1a145538c416d1eafd968042025-08-20T03:34:22ZengUniversity of Baghdad, College of Science for Womenمجلة بغداد للعلوم2078-86652411-79862021-06-0118210.21123/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 مجلة بغداد للعلوم 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 |