International Journal of Mathematics and Mathematical Sciences
Volume 21 (1998), Issue 2, Pages 375-379
doi:10.1155/S0161171298000519

Computable error bounds with improved applicability conditions for collocation methods

Abstract

This paper is concerned with error bounds for numerical solution of linear ordinary differential equation using collocation method. It is shown that if the differential operator is split in different operator forms then the applicability conditions for the computable error bounds which are based on the collocation matrices could be improved