Block hybrid top order methods (BhTOMs)

Awari, Y.S.; Garba, E.J.D.; Kumleng, M.G.

J. Math. Comput. Sci. 8 (2018), 78–97

Block hybrid top order methods (BhTOMs)

Y.S. Awari, E.J.D. Garba, M.G. Kumleng

PDF (957.7 KB)

Abstract

We consider the construction of a class of sixth and tenth order block hybrid top order methods (BhTOMs). Derivation of the methods was based on the use of power series polynomial as basis function. This approach provides continuous interpolants for dense output (approximations). The suggested block hybrid approach eliminates requirement for starting values, it also reduced computational effort. Stability properties of the methods were investigated and found to have good stability regions suitable for stiff system of ODE’s.

Published: 31 December 2017
Volume: 8 (2018)
License: CC BY 3.0

Copyright © 2017 Y.S. Awari, E.J.D. Garba, M.G. Kumleng. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

Y. S. Awari, E. J. D. Garba, M. G. Kumleng, Block hybrid top order methods (BhTOMs), J. Math. Comput. Sci. 8 (2018), 78–97.

BibTeX

@article{Awari2018,
  author  = {Awari, Y.S. and Garba, E.J.D. and Kumleng, M.G.},
  title   = {Block hybrid top order methods (BhTOMs)},
  journal = {J. Math. Comput. Sci.},
  volume  = {8},
  year    = {2018},
  pages   = {78--97},
  doi     = {}
}