Reduction an Inverse Problem to a System of Second Kind Fredholm Integral Equations with No Singularities

M. Sajjadmanesh; H. Aydi; J. Younis

doi:10.1155/2022/8155198

Reduction an Inverse Problem to a System of Second Kind Fredholm Integral Equations with No Singularities

M. Sajjadmanesh
, H. Aydi^*
, J. Younis^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

In this article, we deal with an inverse problem concerning the two-dimensional Laplace equation with local boundary conditions on a bounded region. In this problem, the goal is to reduce it into a system of Fredholm integral equations of the second kind involving kernels with weakly/or no singularities (Fredholm property) by considering some additional conditions on the parameters of the problem. Finally, the method is carried out on an example, to show the simplicity and efficiency of the method.

Original language	English
Article number	8155198
Journal	Journal of Mathematics
Volume	2022
DOIs	https://doi.org/10.1155/2022/8155198
Publication status	Published - 2022
Externally published	Yes

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title = "Reduction an Inverse Problem to a System of Second Kind Fredholm Integral Equations with No Singularities",

abstract = "In this article, we deal with an inverse problem concerning the two-dimensional Laplace equation with local boundary conditions on a bounded region. In this problem, the goal is to reduce it into a system of Fredholm integral equations of the second kind involving kernels with weakly/or no singularities (Fredholm property) by considering some additional conditions on the parameters of the problem. Finally, the method is carried out on an example, to show the simplicity and efficiency of the method.",

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Y1 - 2022

N2 - In this article, we deal with an inverse problem concerning the two-dimensional Laplace equation with local boundary conditions on a bounded region. In this problem, the goal is to reduce it into a system of Fredholm integral equations of the second kind involving kernels with weakly/or no singularities (Fredholm property) by considering some additional conditions on the parameters of the problem. Finally, the method is carried out on an example, to show the simplicity and efficiency of the method.

AB - In this article, we deal with an inverse problem concerning the two-dimensional Laplace equation with local boundary conditions on a bounded region. In this problem, the goal is to reduce it into a system of Fredholm integral equations of the second kind involving kernels with weakly/or no singularities (Fredholm property) by considering some additional conditions on the parameters of the problem. Finally, the method is carried out on an example, to show the simplicity and efficiency of the method.

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DO - 10.1155/2022/8155198

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VL - 2022

JO - Journal of Mathematics

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Reduction an Inverse Problem to a System of Second Kind Fredholm Integral Equations with No Singularities

Abstract

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