Fully Implicit Five-quarters Computational Algorithms of Order Five for Numerical Approximation of Second Order IVPs in ODEs
L. A. Ukpebor
Department of Mathematics, Ambrose Alli University, Ekpoma, Edo State, Nigeria.
E. O. Omole *
Department of Mathematical Sciences, Federal University of Technology, Akure, Ondo State, Nigeria.
L. O. Adoghe
Department of Mathematics, Ambrose Alli University, Ekpoma, Edo State, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
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.
Keywords: Fully-implicit, five-quarters, second order, approximation, A-stable, order, dynamic model, IVPs, ODEs