DERIVATION OF TRIDIAGONAL THREE-STAGES IMPLICIT RUNGE-KUTTA METHOD

Arshed A Ahmed; Fadhel S Fadhel; Akram M M Al-Abood

DERIVATION OF TRIDIAGONAL THREE-STAGES IMPLICIT RUNGE-KUTTA METHOD

Authors

Arshed A Ahmed Department of Mathematics, College of Science, Al-Nahrain University, Baghdad, Iraq.
Fadhel S Fadhel Department of Mathematics, College of Science, Al-Nahrain University, Baghdad, Iraq.
Akram M M Al-Abood Department of Mathematics, College of Science, Al-Nahrain University, Baghdad, Iraq.

Keywords:

Runge-Kutta methods, Implicit Runge-Kutta methods

Abstract

In this paper, the main objective is to introduce a new modified approach for deriving of implicit Runge-Kutta methods by construction a tridiagonal implicit matrices of unknown coefficients