DOAJ Open Access 2025

A HIGHER ORDER A-STABLE DIAGONALLY IMPLICIT 2-POINT SUPER CLASS OF BLOCK EXTENDED BACKWARD DIFFERENTIATION FORMULA FOR SOLVING STIFF INITIAL VALUE PROBLEMS

Buhari Alhassan Hamisu Musa

Abstrak

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.

Topik & Kata Kunci

Applied mathematics. Quantitative methods Mathematics Business mathematics. Commercial arithmetic. Including tables, etc.

Penulis (2)

Buhari Alhassan

Hamisu Musa

Format Sitasi

APA MLA BibTeX

Alhassan, B., Musa, H. (2025). A HIGHER ORDER A-STABLE DIAGONALLY IMPLICIT 2-POINT SUPER CLASS OF BLOCK EXTENDED BACKWARD DIFFERENTIATION FORMULA FOR SOLVING STIFF INITIAL VALUE PROBLEMS. https://doi.org/10.26480/msmk.02.2025.39.48

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Informasi Jurnal

Tahun Terbit: 2025
Sumber Database: DOAJ
DOI: 10.26480/msmk.02.2025.39.48
Akses: Open Access ✓