Convergence of a numerical method for the solution of non-standard integro-differential boundary value problems

M. Basile, E. Messina, W. Themistoclakis and A. Vecchio

Mathematics and Computers in Simulation (MATCOM), 2015, vol. 110, issue C, 144-154

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.

Keywords: Numerical solution of boundary value problems; Non-linear non-standard integro-differential equations; Half-line; Order of convergence; Uniqueness (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:110:y:2015:i:c:p:144-154

DOI: 10.1016/j.matcom.2013.11.003

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