@article {5260,
	title = {Numerical Solution of Generalized Logarithmic Integral Equations of the Second Kind by Projections},
	journal = {Malaysian Journal of Mathematical Sciences},
	volume = {12},
	number = {3},
	year = {2018},
	pages = {349{\textendash}367},
	abstract = {
	In this work, we present a new techniques to solve the integral equations of the second kind with logarithmic kernel. First, we show the existence and uniqueness of the solution for the given problem in a Hilbert space. Next, we discuss a projection method for solving integral equations with logarithmic kernel of the second kind; the present method based on the shifted Legendre polynomials. We examine the existence of the solution for the approximate equation, and we provide a new error estimate for the numerical solutions. At the end, numerical examples are provided to illustrate the theoretical results.

},
	author = {Hasna CHEBBAH and Abdelaziz Mennouni and Nedjem-Eddine Ramdani}
}
