NEW ALGORITHM OF OBTAINING ORDER AND ERROR CONSTANTS OF THIRD ORDER LINEAR MULTI-STEP METHOD (LMM)
Keywords:
LMM, Order, Error constants, Third Order odes, Grid and off grid pointsAbstract
The method of obtaining order and error constant presented in [2] for first and second order linear multi-step methods were extended to derived a similar method for obtaining the order and error constant of the third order linear multi-step methods. Specifically the method is meant for the LMM schemes on grid and off grid points to determine their Order and Error constants easily.References
Badmus A M : Some Multistep Collocation methods with Continuous Coefficients for initial value problems of General Second and Third Order Ordinary Differential Equations. P h D thesis (Unpublished) ,Postgraduate school Nigerian Defence Academy Kaduna, Nigeria. 2013.
Lambert J .D: Computational methods in ordinary differential equations New York, John Wiley 1973
Olabode B T: An accurate scheme by block method for third order ordinary differential equations The Pacific Journal of Science and Technology, volume 10 Number 1, May 2009 (Spring) pp136-142,2009
Odejide SA and Adeniran AO: A hybrid linear collocation multistep scheme for solving first order initial value problems Journal of Nigerian Mathematical Society, Volume 31, pages229-241, (2012)
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