Abstract
In this article, we have considered an adaptive step-size formulation of an optimized block method for directly solving general second-order initial value problems of ODEs numerically. This formulation has been done using an embedded-type procedure resulting in an efficient method that performs much better compared to its counterpart fixed step-size method and other existing block strategies.
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Acknowledgements
We would like to thank the anonymous reviewers for their constructive comments that have greatly contributed to improve the manuscript. Rajat Singla wants to thank I. K. Gujral Punjab Technical University Jalandhar, Punajb (India) for providing research facilities for the present work.
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Communicated by Jose Alberto Cuminato.
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Singla, R., Singh, G., Kanwar, V. et al. Efficient adaptive step-size formulation of an optimized two-step hybrid block method for directly solving general second-order initial-value problems. Comp. Appl. Math. 40, 220 (2021). https://doi.org/10.1007/s40314-021-01599-z
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DOI: https://doi.org/10.1007/s40314-021-01599-z