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.
M.Attia, G., & H.Behiry, S. (2021). A Numerical Solution of Integral Equations with a Logarithmic Kernel by Product and Gauss-Legendre Methods.. MEJ- Mansoura Engineering Journal, 20(3), 1-6. doi: 10.21608/bfemu.2021.209133
MLA
G. M.Attia; S. H.Behiry. "A Numerical Solution of Integral Equations with a Logarithmic Kernel by Product and Gauss-Legendre Methods.". MEJ- Mansoura Engineering Journal, 20, 3, 2021, 1-6. doi: 10.21608/bfemu.2021.209133
HARVARD
M.Attia, G., H.Behiry, S. (2021). 'A Numerical Solution of Integral Equations with a Logarithmic Kernel by Product and Gauss-Legendre Methods.', MEJ- Mansoura Engineering Journal, 20(3), pp. 1-6. doi: 10.21608/bfemu.2021.209133
VANCOUVER
M.Attia, G., H.Behiry, S. A Numerical Solution of Integral Equations with a Logarithmic Kernel by Product and Gauss-Legendre Methods.. MEJ- Mansoura Engineering Journal, 2021; 20(3): 1-6. doi: 10.21608/bfemu.2021.209133
)
View on SCiNiTO