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

Authors

G. M.Attia, Department of Engineering Mathematics and Physics, Faculty of Engineering, Mansoura University, Mansoura, Egypt.
S. H.Behiry, Department of Engineering Mathematics and Physics, Faculty of Engineering, Mansoura University, Mansoura, Egypt.

Corresponding Author

M.Attia, G.

Subject Area

Mathematics and Engineering Physics

Article Type

Original Study

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.

Recommended Citation

M.Attia, G. and H.Behiry, S. (2021) "A Numerical Solution of Integral Equations with a Logarithmic Kernel by Product and Gauss-Legendre Methods.," Mansoura Engineering Journal: Vol. 20 : Iss. 3 , Article 6.
Available at: https://doi.org/10.21608/bfemu.2021.209133