Fully Implicit Five-quarters Computational Algorithms of Order Five for Numerical Approximation of Second Order IVPs in ODEs
L. A. Ukpebor, E. O. Omole, L. O. Adoghe
Journal of Advances in Mathematics and Computer Science · pp. 1–15 · Published 11 Feb 2019
10.9734/JAMCS/2019/44846Abstract
This research paper proposes a fully implicit five-quarters computational algorithms of order five for Numerical Approximation of Second order IVPs in ODEs. The method is consistent, convergent, zero stable and A-stable. The method solved second order ordinary differential equations efficiently and accurately. It has a low error constant and gives better approximation than some existing methods.
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