HIGHER ORDER SUPER-IMPLICIT HYBRID MULTISTEP METHODS FOR SECOND ORDER DIFFERENTIAL EQUATIONS

HIGHER ORDER SUPER-IMPLICIT HYBRID MULTISTEP METHODS FOR SECOND ORDER DIFFERENTIAL EQUATIONS

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A generalized set of hybrid parameters suitable for the construction of high order P- stable super-implicit hybrid linear multistep method is presented in this paper. Based on this generalization, highly stable algorithms for the numerical solutions of special second order initial value problems (IVP) in ordinary differential equations (ODE) are derived. Numerical experiments are performed on...
 
Published at International Journal of Mechanical Engineering and Technology (IJMET)
Volume 9
Issue 9
Pages 1384–1392
Published in 2018
 
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T.A. Anake; I.C. Felix; O.P. Ogundile
Ogundile Opeyemi » Opeyemi Paul Ogundile obtained his B.Sc and M.Sc in Industrial Mathematics from Covenant University. He works as a researcher and Lecturer at the department of mathematics, Covenant University,Ota, Ogun State. His research interests include: Financial and Computational Mathematics, Modelling, Stochastic processes and numerics. view full profile
Ogundile Opeyemi
 
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