Implicit stomer cowell k-step hybrid block methods for solution of first order ordinary differential equations (ODEs)

Authors

  • AM Badmus POST GRADUATE SCHOOL ,NIGERIAN DEFENCE ACADEMY KADUNA NIGERIA
  • YA Yahaya FEDERAL UNIVERSITY OF TECHNOLOGY MINNA NIGERIA
  • AO Subair NIGERIAN DEFENCE ACADEMY KADUNA NIGERIA

DOI:

https://doi.org/10.14419/ijamr.v3i4.3403

Published:

2014-10-08

Abstract

This paper focuses on derivation of two implicit hybrid Block methods at  and one method  at  Each block method produced at  yielded uniform order 5 and 7 respectively, while the Block implicit method at k = 4 produced uniform order 9. The block analysis of all the methods derived shows that they are zero stable, consistent and convergent. The superiority of these methods over some existing one were demonstrated numerically.

Keywords: Consistent And Convergent, Implicit Block Methods, Uniform Order and Zero Stable.

References

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