Non-local Solution of Mixed Integral Equation with Singular Kernel

Non-local Solution of Mixed Integral Equation with Singular Kernel

Mohamed Abdou

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Sameha Raad

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Wafaa Wahied

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Alexandria University

Non-local Solution of Mixed Integral Equation with Singular Kernel

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Abstract

In this paper, we consider a non-local mixed integral equation in position and time in the space 2 L 1,1 C 0,T ;T. Then, using a quadratic numerical method, we have a system of Fredholm integral equations (SFIEs), where the existence of a unique solution is considered. Moreover, we consider Product Nystrom method (PNM), as a famous method to solve the singular integral equations, to obtain an algebraic system. Finally, some numerical results are considered, and the error estimate, in each case, is computed.

References

17 Cites in Article

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

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No ethics committee approval was required for this article type.

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How to Cite This Article

Mohamed Abdou. 2015. \u201cNon-local Solution of Mixed Integral Equation with Singular Kernel\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 15 (GJSFR Volume 15 Issue F7): .

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GJSFR Volume 15 Issue F7
Pg. 57- 67

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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Classification

GJSFR-F Classification: 45B05, 45G10, 60R

Submission ReceivedAugust 20, 2015
Peer Review Double Blind
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Accepted September 10, 2015
Published September 24, 2015

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September 24, 2015

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Article Matrices

Total Score: 103

Country: Egypt

Subject: Global Journal of Science Frontier Research - F: Mathematics & Decision

Authors: Mohamed Abdou, Sameha Raad, Wafaa Wahied (PhD/Dr. count: 0)

View Count (all-time): 170

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Publish Date: 2015 09, Thu

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Total Views: 4155

Total Downloads: 2157

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