An Improved Block Backward Differentiation Formula for Stiff Differential Equations

  • C. E. Abhulimen
  • M. A. Umar
  • E. O. Amuno
Keywords: Implicit, Block Backward Differentiation, Stability, Off-Steps, Stiff Differential Equations

Abstract

In this work, we derived eight-order, implicit block formula using backward differentiation method with two off-step points for solving stiff ordinary differential equations. We solve some standard set of stiff initial value problems (IVPs) using the new method. We then compared the numerical results with the existing methods which have solved the same set of ivps. We have also verified the consistency, order and stability of the method whereby, method is found to be A - stable and consistent.

Published
2025-08-31
How to Cite
Abhulimen, C. E., Umar, M. A., & Amuno, E. O. (2025). An Improved Block Backward Differentiation Formula for Stiff Differential Equations. International Journal of Mathematical Sciences and Optimization: Theory and Applications, 11(3), 36 - 48. Retrieved from https://ijmso.unilag.edu.ng/article/view/2851
Issue
Vol 11 No 3 (2025)
Section
Articles

Copyright (c) 2025 Author

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

This is an Open Access article distributed under the terms of the Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, adaptation, and reproduction in any medium, provided that the original work is properly cited.