Abstract
This paper focuses on the derivation of a new block method for solving second-order initial value problems. The method is developed via interpolation and collocation approach. Power series approximate solution is considered as an interpolation equation while its second derivative is assigned as the collocation equation. The new method was then applied to solve some second-order initial value problems of ordinary differential equations and the results generated are better in terms of accuracy when compared with existing methods.
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Kuboye, J.O., Omar, Z. (2017). Developing New Block Method for Direct Solution of Second-Order Ordinary Differential Equations. In: Ahmad, AR., Kor, L., Ahmad, I., Idrus, Z. (eds) Proceedings of the International Conference on Computing, Mathematics and Statistics (iCMS 2015). Springer, Singapore. https://doi.org/10.1007/978-981-10-2772-7_23
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DOI: https://doi.org/10.1007/978-981-10-2772-7_23
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