Abstract

The paper is geared towards implementing a type of block predictor-corrector mode capable of integratinggeneral second order ordinary differential equations using variable step size. This technique will be carried out on nonstiff problems. The mode which emanated from Milne’s estimate has many computation advantages such as changing and designing a suitable step size, correcting to convergence, error control/minimization with better accuracy compare to other methods with fixed step size. Moreover, the approach will adopt the estimates of the principal local truncation error on a pair of explicit (predictor) and implicit (corrector) Adams family which are implemented in P(CE)^m mode. Numerical examples are given to examine the efficiency of the method and compared with subsisting methods.

Keywords:

And phrase block predictor-corrector mode, correcting to convergence, nonstiff problems, principal local truncation error, variable step size technique,

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The authors have no competing interests.

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