Implementing Deferred Corrections for Numerov's Difference Method for Second-Order Two-Point Boundary-Value Problems,

Abstract : The iterated deferred correction of the standard fourth-order finite difference Numerov's method for second-order two-point boundary-value problems is implemented by an improved version of the codes developed by pereyra. The improvements are of a general nature so as to be applicable to the deferred correction of other basic schemes. While not polished enought to be called a production code, the computer code presented can be used as it stands by others or, preferably, can be used as the basis for the development of a production code suited to the needs and computer environment where it is implemented. Results of numerical experiments are described.