Non-local Solution of Mixed Integral Equation with Singular Kernel

Mohamed Abdou

Non-Local Solution of Mixed Integral Equation with Singular Kernel

M. A. Abdou §

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S. A. Raad ‡

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W. Wahied ¶

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§ Alexandria University

‡ Department of Mathematics, Faculty Applied Sciences,...

¶ Department of Mathematics, Faculty of Science, Daman...

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  1,1    0,  ; L  C T T  1 . Then, using a quadratic numerical method, we have a system of Fredholm integral 2 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

Reference Format

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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.

Data Availability

Not applicable for this article.

How to Cite This Article

M. A. Abdou, S. A. Raad, W. Wahied. 2015. "Non-Local Solution of Mixed Integral Equation with Singular Kernel". Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 15 (GJSFR Volume 15 Issue 32 (F7)).

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GJSFR Volume 15 Issue 32 (F7)

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

algebraic system fredholm-volterra integral equation non-local solution system of fredholm integral equations weakly kernel

Classification

GJSFR-F Classification 45B05

45G10

60R

Submission ReceivedAugust 20, 2015
Peer Review Double Blind
Handling Editor
Accepted September 10, 2015
Published August 10, 2015

Version of record

v1.2

Issue date

August 10, 2015

Language

English

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Article Matrices

Total Score: 123

Country: Saudi Arabia

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

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

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Publish Date: 2015 08, Mon

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