Year: 2025
Type: article
Abstract: A new fifth-order modified implicit 3-point super class of block backward differentiation formula for solving oscillatory problems and systems of stiff ordinary differential equations (ODEs) is developed.The method is order five.The stability and convergence properties of the method demonstrate that the method is consistent, zero-stable and almost A-stable which are necessary and sufficient conditions to integrate the stiff systems and oscillatory ODEs.Numerical experiments reveal that the proposed method delivers superior performance compared to existing conventional 3-point Block Backward Differentiation Formula (3BBDF) and 3-point Super Class of Block Backward Differentiation Formula (3SBBDF) methods, making it a robust and efficient tool for addressing stiff problems.
Institutions: Umaru Musa Yar'adua University, Al-Qalam University Katsina
Language: English
Subfield: Numerical Analysis
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W7124420487