Hernández-Verón, M. A.; Martínez Molada, Eulalia; Singh, Sukhjit(Elsevier, 2022-04)
[EN] This work is devoted to solve integral equations formulated in terms of the kernel functions and Nemytskii operators. This type of equations appear in different applied problems such as electrostatics and radiative ...
[EN] The significance of our work is to solve some second-order nonlinear boundary value prob-lems. To do this, we take into account the equivalence of the problems considered with certain integral equations, we will obtain ...
Hernández-Verón, M. A.; Martínez Molada, Eulalia(Elsevier, 2022-04)
[EN] In this work, we use Newton-type iterative schemes to obtain a domain of existence of solution, approximate the solution of Chandrasekhar H-equations and deal with the case of nonlinear integral equations with ...
[EN] We consider a generic type of nonlinear Hammerstein-type integral equations with the particularity of having non-differentiable kernel of Nemystkii type. So, in order to solve it we consider a uniparametric family of ...
[EN] From decomposition method for operators, we consider a Newton-Steffensen iterative scheme for approximating a solution of nonlinear Fredholm integral equations with non-differentiable Nemystkii operator. By means of ...
Cordero Barbero, Alicia; Ezquerro, J. A.; Hernández Verón, M. A.; Torregrosa Sánchez, Juan Ramón(Elsevier, 2015-01-15)
[EN] A new predictor–corrector iterative procedure, that combines Newton’s method as
predictor scheme and a fifth-order iterative method as a corrector, is designed for solving
nonlinear equations in Banach spaces. We ...
Hernández-Verón, M. A.; Magreñán, A. A.; Martínez Molada, Eulalia; Villalba, Eva G.(Springer-Verlag, 2023-12)
[EN] In this paper, the behavior of derivative-free techniques to approximate solutions of nonlinear Hammerstein-type integral equations in Banach space C([alpha,beta]) as alternatives against the well-known Newton's method ...
[EN] In this work we focus on location and approximation of a solution of nonlinear integral equations of Hammerstein-type when the kernel is non-separable through a high order iterative process. For this purpose, we ...