Abstract
This paper is aimed at deriving a 2-point zero stable numerical algorithm of block backward differentiation formula using Taylor series expansion, for solving first order ordinary differential equation. The order and zero stability of the method are investigated and the derived method is found to be zero stable and of order 3. Hence, the method is suitable for solving first order ordinary differential equation. Implementation of the method has been considered
Highlights
Problems in electrical circuits, mechanics, vibrations, extended backward differentiation formula, Milner (1953)chemical reactions, kinetic and population growth can be discovered block numerical solution of differential equation, modeled by differential equations.Such differentialBrugano (1998) with solving differential problem by equations can be categorized into stiff and non stiff
The method is suitable for solving first order ordinary differential equation
The use of suitable numerical schemes is advocated. This with problem related to numerical method
Summary
Mechanics, vibrations, extended backward differentiation formula, Milner (1953). Chemical reactions, kinetic and population growth can be discovered block numerical solution of differential equation, modeled by differential equations
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