ABSTRACT
A HIGHER ORDER A-STABLE DIAGONALLY IMPLICIT 2-POINT SUPER CLASS OF BLOCK EXTENDED BACKWARD DIFFERENTIATION FORMULA FOR SOLVING STIFF INITIAL VALUE PROBLEMS
Journal: Matrix Science Mathematic (MSMK)
Author: Buhari Alhassan, Hamisu Musa
This is an open access article distributed under the Creative Commons Attribution License CC BY 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited
DOI: 10.26480/msmk.02.2025.34.43
This paper presents the formulation of higher order diagonally implicit 2-point super class of block extended backward differentiation formula (2DSBEBDF) for solving first order stiff initial value problems. The order of the 2DSBEBDF method is derived and found to be four. The Stability analysis of the method shows that the method is zero-stable and its absolute stability region shows that the method is A-stable within the stiff stability interval -1≤ρ<1. The numerical experiments demonstrate the effectiveness of the 2DSBEBDF method in solving stiff initial value and oscillatory problems over the existing stiff solver found in the literature.
| Pages | 34-43 |
| Year | 2025 |
| Issue | 2 |
| Volume | 9 |
