Second derivative General Linear Method in Nordsieck form

Robert I. Okuonghae; Monday Ndidi Oziegbe Ikhile

doi:10.33993/jnaat481-1140

Authors

Robert I. Okuonghae Department of Mathematics, University of Benin, Nigeria https://orcid.org/0000-0003-3776-1172
Monday Ndidi Oziegbe Ikhile Department of Mathematic; Faculty of Physical Science, University of Benin, Benin City, Nigeria https://orcid.org/0000-0002-2929-6576

DOI:

https://doi.org/10.33993/jnaat481-1140

Keywords:

General linear methods (GLM), Nordsieck vectors/methods, second derivative GLM, RK-starters, variable stepsize

Abstract views: 272

Abstract

This paper considers the construction of second derivative general linear methods (SD-GLM) from hybrid LMM and their transformation to Nordsieck
GLM.
How the Runge-Kutta starters for the methods can be derived are given.
The representation of the methods in Nordsieck form has the advantage of easy implementation in variable stepsize.

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Author Biography

Monday Ndidi Oziegbe Ikhile, Department of Mathematic; Faculty of Physical Science, University of Benin, Benin City, Nigeria

1. Professor M.N.O. Ikhile, Ph.D (Department of Mathematics)

2. Professor R. I. Okuonghae, Ph.D (Department of Mathematics)

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