#### A Second Derivative Block Method Derived from a Family of Modified Backward Differentiation Formula (BDF) Type for Solving Stiff Ordinary Differential Equations

Kaze Atsi*, Lydia Adiku**, Namuma Yarima***, G. M. Kumleng****
* Department of Mathematics, Federal University Gashua, Yobe State, Nigeria.
**-*** Department of Mathematics and Statistics, Federal University Wukari, Taraba State, Nigeria.
**** Department of Mathematics, University of Jos, Plateau State, Nigeria.
Periodicity:July - December'2022
DOI :

#### Abstract

In this work, a second derivative block method derived from a family of modified backward differentiation formula (bdf) type for solving stiff ordinary differential equations has been constructed. Choosing a step number, k = 4, four discrete methods with uniform order 7 are obtained using the multistep collocation approach. The stability properties of the new method have been established. The solutions of two problems have been computed and compared with the corresponding exact and other existing solutions. Solutions are presented on graphs and the associated absolute errors are compared in tables.

#### Keywords

Second Derivative, BDF, Block Methods, Stiff Ordinary Differential Equations (SODEs), Stability.

Atsi, K., Adiku, L., Yarima, N., and Kumleng, G. M. (2022). A Second Derivative Block Method Derived from a Family of Modified Backward Differentiation Formula (BDF) Type for Solving Stiff Ordinary Differential Equations. i-manager’s Journal on Mathematics, 11(2), 8-12. https://doi.org/10.26634/jmat.11.2.19206

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