In a recent paper we proposed a numerical method to solve a non-standard non-linear second order integro-differential boundary value problem. Here, we answer two questions remained open: we state the order of convergence of this method and provide some sufficient conditions for the uniqueness of the solution both of the discrete and the continuous problem. Finally, we compare the performances of the method for different choices of the iteration procedure to solve the non-standard nonlinearity.
Convergence of a numerical method for the solution of non-standard integro-differential boundary value problems / M., Basile; Messina, Eleonora; W., Themistoclakis; A., Vecchio. - In: MATHEMATICS AND COMPUTERS IN SIMULATION. - ISSN 0378-4754. - 110:(2015), pp. 144-154. [10.1016/j.matcom.2013.11.003]
Convergence of a numerical method for the solution of non-standard integro-differential boundary value problems
MESSINA, ELEONORA;
2015
Abstract
In a recent paper we proposed a numerical method to solve a non-standard non-linear second order integro-differential boundary value problem. Here, we answer two questions remained open: we state the order of convergence of this method and provide some sufficient conditions for the uniqueness of the solution both of the discrete and the continuous problem. Finally, we compare the performances of the method for different choices of the iteration procedure to solve the non-standard nonlinearity.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
