%0 Journal Article %J Boletim da Sociedade Paranaense de Matemática %D 2022 %T Three methods to solve two classes of integral equations of the second kind %A Chebbah, Hassna %A MENNOUNI, ABDELAZIZ %A Zennir, Khaled %X

Three methods to solve two classes of integral equations of the second kind are introduced in

this paper. Firstly, two Kantorovich methods are proposed and examined to numerically solving an integral

equation appearing from mathematical modeling in biology. We use a sequence of orthogonal finite rank

projections. The first method is based on general grid projections. The second one is established by using

the shifted Legendre polynomials. We present a new convergence analysis results and we prove the associated

theorems. Secondly, a new Nystr¨om method is introduced for solving Fredholm integral equation of the second kind.

%B Boletim da Sociedade Paranaense de Matemática %V 40 %P 1-8 %8 2022 %@ 2175-1188 %G eng %U https://www.researchgate.net/publication/332291026_Three_methods_to_solve_two_classes_of_integral_equations_of_the_second_kind