Examinando por Materia "Iterative methods"
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Publicación Acceso abierto An iterative method for a second order problem with nonlinear two-point boundary conditions.(2012-11-08) Amster, Pablo; Cárdenas Alzate, Pedro PabloA semi-linear second order ODE under a nonlinear two-point boundary condition is considered. Under appropriate conditions on the nonlinear term of the equation, we define a two-dimensional shooting argument which allows to obtain solutions for some specific situations by the use of Poincar´e-Miranda’s theorem. Finally, we apply this result combined with the method of upper and lower solutions and develop an iterative sequence that converges to a solution of the problem.