On The Stability of Continuous Block Backward Differentiation Formula For Solving Stiff Ordinary Differential Equations
O. A. Akinfenwa, S. N. Jator, Nianmin Yao
Abstract
O. A. Akinfenwa, S. N. Jator, Nianmin Yao
Abstract
This paper focuses on the stability regions of numerical methods and to demonstrate its suitability for the solution stiff ordinary differential equations. In particular, the purpose of this paper is to generate the stability region for methods of Continuous Block Backward Differentiation Formulae (CBBDF) that simultaneously generate the approximate solution of the stiff ODEs. The practical importance of the methods is established for the stability regions since it cover the whole of the negative half-complex plane.
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This paper focuses on the stability regions of numerical methods and to demonstrate its suitability for the solution stiff ordinary differential equations. In particular, the purpose of this paper is to generate the stability region for methods of Continuous Block Backward Differentiation Formulae (CBBDF) that simultaneously generate the approximate solution of the stiff ODEs. The practical importance of the methods is established for the stability regions since it cover the whole of the negative half-complex plane.
Key concepts: Backward differentiation formula, Ordinary differential equation, Ode, Stability (learning theory), L-stability, Mathematics, Block (permutation group theory), Cover (algebra)