NEW ALGORITHM OF OBTAINING ORDER AND ERROR CONSTANTS OF THIRD ORDER LINEAR MULTI-STEP METHOD (LMM)

Authors

  • AM Badmus NIGERIAN DEFENCE ACADEMY KADUNA, NIGERIA
  • YA Yahya FEDERAL UNIVERSITY OF TECHNOLOGY MINNA, NIGERIA

Keywords:

LMM, Order, Error constants, Third Order odes, Grid and off grid points

Abstract

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.

Author Biographies

AM Badmus, NIGERIAN DEFENCE ACADEMY KADUNA, NIGERIA

SENIOR LECTURER

YA Yahya, FEDERAL UNIVERSITY OF TECHNOLOGY MINNA, NIGERIA

MATHEMATICS AND STATISTICS , FEDERAL UNIVERSITY OF TECHNOLOGY MINNA, NIGERIA

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 P h D thesis (Unpublished) ,Postgraduate school Nigerian Defence Academy Kaduna, Nigeria. 2013.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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Published

2014-12-15

How to Cite

Badmus, A., & Yahya, Y. (2014). NEW ALGORITHM OF OBTAINING ORDER AND ERROR CONSTANTS OF THIRD ORDER LINEAR MULTI-STEP METHOD (LMM). Asian Journal of Fuzzy and Applied Mathematics, 2(6). Retrieved from https://ajouronline.com/index.php/AJFAM/article/view/1855

Issue

Vol. 2 No. 6 (2014): December 2014

Section

Articles

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