Two-Dimensional Fredholm Integro-Differential Equation with Singular Kernel and Its Numerical Solutions

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] Text
2501947.pdf - Published Version
Download (455kB)

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

Actions (login required)

View Item
View Item