Non-local Solution of Mixed Integral Equation with Singular Kernel

Article ID

7PGZ7

Non-local Solution of Mixed Integral Equation with Singular Kernel

Mohamed Abdou
Mohamed Abdou Alexandria University
Sameha Raad
Sameha Raad
Wafaa Wahied
Wafaa Wahied
DOI

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.

Non-local Solution of Mixed Integral Equation with Singular Kernel

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.

Mohamed Abdou
Mohamed Abdou Alexandria University
Sameha Raad
Sameha Raad
Wafaa Wahied
Wafaa Wahied

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Mohamed Abdou. 2015. “. Global Journal of Science Frontier Research – F: Mathematics & Decision GJSFR-F Volume 15 (GJSFR Volume 15 Issue F7): .

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Issue Cover
GJSFR Volume 15 Issue F7
Pg. 57- 67
Classification
GJSFR-F Classification: 45B05, 45G10, 60R
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Non-local Solution of Mixed Integral Equation with Singular Kernel

Mohamed Abdou
Mohamed Abdou Alexandria University
Sameha Raad
Sameha Raad
Wafaa Wahied
Wafaa Wahied

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