Solution of Integral Equation in Two-Dimensional using Spectral Relationships

Solution of Integral Equation in Two-Dimensional using Spectral Relationships

Faizah Alharbi

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Umm al-Qura University

Solution of Integral Equation in Two-Dimensional using Spectral Relationships

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Abstract

This paper concerned using spectral relationships in the solution of the integral equation (IE) in two-dimensional. To discuss that, the (IE) in two-dimensional under certain conditions was considered. The existence of at least one solution of the (IE) was discussed by proving the continuity and compactness of an integral operators. Chebyshev polynomials of the first kind were used to transform the (IE) to a linear algebraic system. Many numerical results and estimating errors were calculated and plotted by the Maple program in different cases.

References

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

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Not applicable for this article.

How to Cite This Article

Faizah Alharbi. 2020. \u201cSolution of Integral Equation in Two-Dimensional using Spectral Relationships\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 20 (GJSFR Volume 20 Issue F2).

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GJSFR Volume 20 Issue F2

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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GJSFR-F Classification MSC 2010: 31A10

Submission ReceivedJanuary 22, 2020
Peer Review Double Blind
Handling Editor
Accepted February 12, 2020
Published February 22, 2020

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v1.2

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March 23, 2020

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