Solving second order initial value problems by a hybrid multistep method without predictors

@article{Jator2010SolvingSO,
title={Solving second order initial value problems by a hybrid multistep method without predictors},
author={Samuel N. Jator},
journal={Applied Mathematics and Computation},
year={2010},
volume={217},
pages={4036-4046}
}

A three-step seventh order hybrid linear multistep method (HLMM) with three non-step points is proposed for the direct solution of the special second order initial value problems (IVPs) of the form y00 = f(x,y) with an extension to y00 = f(x,y,y0). The main method and additional methods are obtained from the same continuous scheme derived via interpolation and collocation procedures.The stability properties of the methods are discussed by expressing them as a one-step method in higher dimensionâ€¦Â CONTINUE READING