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

Abeer M. Al-Bugami

Advances in Mathematical Physics, 2022, vol. 2022, issue 1

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.

Date: 2022
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https://doi.org/10.1155/2022/2501947

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2022:y:2022:i:1:n:2501947

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