Al-Bugami, Abeer M. and Yan, Su (2022) Two-Dimensional Fredholm Integro-Differential Equation with Singular Kernel and Its Numerical Solutions. Advances in Mathematical Physics, 2022. pp. 1-8. ISSN 1687-9120
![[thumbnail of 2501947.pdf]](http://research.manuscritpub.com/style/images/fileicons/text.png)
2501947.pdf - Published Version
Download (455kB)
Official URL: https://doi.org/10.1155/2022/2501947
Abstract
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.
Item Type: | Article |
---|---|
Subjects: | Science Repository > Mathematical Science |
Depositing User: | Managing Editor |
Date Deposited: | 04 Feb 2023 04:32 |
Last Modified: | 24 Apr 2024 08:01 |
URI: | http://research.manuscritpub.com/id/eprint/1574 |