EXTENDED MONO-IMPLICIT RUNGE-KUTTA METHODS FOR STIFF ODES

Authors

  • I.B. Aihie Department of Mathematics, University of Benin, Benin City; Nigeria. Author
  • R.I. Okuonghae Department of Mathematics, University of Benin, Benin City; Nigeria. Author

Keywords:

A-stability, stiff IVPs, order condition, Second derivative Mono-Implicit Runge-Kutta method

Abstract

An extended Mono Implicit Runge-kutta (EMIRK) method is considered herein for the numerical solution of stiff initial value problems (IVPs) in ordinary differential equation (ODEs). The methods are A-stable for ???? = ????, ???? and ???????? . The ???? and ???? are the order of the input and output methods respectively. Numerical results are given to illustrate the application of the new methods.

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Published

2022-09-01

How to Cite

EXTENDED MONO-IMPLICIT RUNGE-KUTTA METHODS FOR STIFF ODES. (2022). The Journals of the Nigerian Association of Mathematical Physics, 64, 53–58. https://nampjournals.org.ng/index.php/home/article/view/80

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