Two-Dimensional Fredholm Integro-Differential Equation with Singular Kernel and Its Numerical Solutions
In this paper, we introduce the nonlinear Fredholm integro-differential equation of the second kind with singular kernel in two-dimensional NT-DFIDE. Furthermore, we study this new equation numerically. The existence of a unique solution of the equation is proved. The numerical results of NT-DFIDE a...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
|
| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2022/2501947 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832552896522092544 |
|---|---|
| author | Abeer M. Al-Bugami |
| author_facet | Abeer M. Al-Bugami |
| author_sort | Abeer M. Al-Bugami |
| collection | DOAJ |
| description | In this paper, we introduce the nonlinear Fredholm integro-differential equation of the second kind with singular kernel in two-dimensional NT-DFIDE. Furthermore, we study this new equation numerically. The existence of a unique solution of the equation is proved. The numerical results of NT-DFIDE are obtained by the following methods: Toeplitz matrix method (TMM) and product Nystrom method (PNM). The given applications showed the efficiency of these methods. |
| format | Article |
| id | doaj-art-174ebe53d4eb47eea63ca6a79b03f039 |
| institution | Kabale University |
| issn | 1687-9139 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-174ebe53d4eb47eea63ca6a79b03f0392025-02-03T05:57:26ZengWileyAdvances in Mathematical Physics1687-91392022-01-01202210.1155/2022/2501947Two-Dimensional Fredholm Integro-Differential Equation with Singular Kernel and Its Numerical SolutionsAbeer M. Al-Bugami0Department of Mathematics and StatisticsIn this paper, we introduce the nonlinear Fredholm integro-differential equation of the second kind with singular kernel in two-dimensional NT-DFIDE. Furthermore, we study this new equation numerically. The existence of a unique solution of the equation is proved. The numerical results of NT-DFIDE are obtained by the following methods: Toeplitz matrix method (TMM) and product Nystrom method (PNM). The given applications showed the efficiency of these methods.http://dx.doi.org/10.1155/2022/2501947 |
| spellingShingle | Abeer M. Al-Bugami Two-Dimensional Fredholm Integro-Differential Equation with Singular Kernel and Its Numerical Solutions Advances in Mathematical Physics |
| title | Two-Dimensional Fredholm Integro-Differential Equation with Singular Kernel and Its Numerical Solutions |
| title_full | Two-Dimensional Fredholm Integro-Differential Equation with Singular Kernel and Its Numerical Solutions |
| title_fullStr | Two-Dimensional Fredholm Integro-Differential Equation with Singular Kernel and Its Numerical Solutions |
| title_full_unstemmed | Two-Dimensional Fredholm Integro-Differential Equation with Singular Kernel and Its Numerical Solutions |
| title_short | Two-Dimensional Fredholm Integro-Differential Equation with Singular Kernel and Its Numerical Solutions |
| title_sort | two dimensional fredholm integro differential equation with singular kernel and its numerical solutions |
| url | http://dx.doi.org/10.1155/2022/2501947 |
| work_keys_str_mv | AT abeermalbugami twodimensionalfredholmintegrodifferentialequationwithsingularkernelanditsnumericalsolutions |