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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1 Alexandria University

GJSFR Volume 15 Issue F7

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Non-local Solution of Mixed Integral Equation with Singular Kernel Banner

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.

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References

C Constanda (1995). Integral equation of the first kind in plane elasticity.
E Venturing (1992). The Galerkin method for singular integral equations revisited.
R Kangro,P Oja (2008). Convergence of spline collection for Volterra integral equation.
Teresa Diogo,Pedro Lima (2008). Superconvergence of collocation methods for a class of weakly singular Volterra integral equations.
G Anastasia,A (2009). Generalized Picard singular integrals.
N Muskhelishvili (1953). Singular Integral Equations.
G Ya,Popov (1982). Contact problems for a linearly deformable base.
F Tricomi (1985). Integral equations.
H Hochstadt (1971). Integral equations.
C Green (1969). Integral equation methods.
K Atkinson (1976). A Survey of Numerical Method for the Solution of Fredholm Integral Equation of the Second Kind.
L Delves,J Mohamed (1985). Computational Methods for Integral Equations.
M Golberg (1990). Numerical Solution of Integral Equations.
Peter Linz (1985). Analytical and Numerical Methods for Volterra Equations.
M Abdou (2002). Fredholm -Volterra equation of the first kind and contact problem.
M Abdou (2000). Fredholm integral equation with potential kernel and its structure resolvent.
J Kauthen (1989). Continuous time collection for Volterra-Fredholm integral equations.

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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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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

Keywords

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Classification

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

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

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Issue date

September 24, 2015

Language

English

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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): 146

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Publish Date: 2015 09, Thu

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Total Views: 4131

Total Downloads: 2008

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