A Numerical Solution of Integral Equations with a Logarithmic Kernel by Product and Gauss-Legendre Methods.
M.Attia, G., H.Behiry, S. (2021). A Numerical Solution of Integral Equations with a Logarithmic Kernel by Product and Gauss-Legendre Methods.. EKB Journal Management System, 20(3), 1-6. doi: 10.21608/bfemu.2021.209133
G. M.Attia; S. H.Behiry. "A Numerical Solution of Integral Equations with a Logarithmic Kernel by Product and Gauss-Legendre Methods.". EKB Journal Management System, 20, 3, 2021, 1-6. doi: 10.21608/bfemu.2021.209133
M.Attia, G., H.Behiry, S. (2021). 'A Numerical Solution of Integral Equations with a Logarithmic Kernel by Product and Gauss-Legendre Methods.', EKB Journal Management System, 20(3), pp. 1-6. doi: 10.21608/bfemu.2021.209133
M.Attia, G., H.Behiry, S. A Numerical Solution of Integral Equations with a Logarithmic Kernel by Product and Gauss-Legendre Methods.. EKB Journal Management System, 2021; 20(3): 1-6. doi: 10.21608/bfemu.2021.209133

A Numerical Solution of Integral Equations with a Logarithmic Kernel by Product and Gauss-Legendre Methods.

MEJ- Mansoura Engineering Journal
Article 6, Volume 20, Issue 3, September 1995, Page 1-6  XML PDF (427.93 K)
Document Type: Research Studies
DOI: 10.21608/bfemu.2021.209133
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Authors
G. M.Attia* ; S. H.Behiry
Department of Engineering Mathematics and Physics, Faculty of Engineering, Mansoura University, Mansoura, Egypt.
Abstract
An integral equation whose kernel presents logarithmic singularity is numerically solved by product method. Gauss-Legendre method is developed to be suitable in handing such type of integral equation. Hence, it is used to obtain a numerical solution for integral equation whose kernel presents logarithmic singularity. A comparison and both the weakness and strengths of the solutions obtained by these methods are evaluated and discussed.
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