Published October 11, 2025
| Version v1
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An Improved Block Backward Differentiation Formula for Stiff Differential Equations
Description
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.
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Additional details
Dates
- Submitted
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2025-02-23
- Updated
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2025-08-11
- Accepted
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2025-08-15
References
- Chibuisi,C.,Osu, B.O.,Sirisena, U.W.,Uchendu, K., & Granados,C (2022). The computational solution of first order delay differential equations using second derivative block backward differ entiation formulae. International Journal of Mathematical Sciences and Optimization: Theory and Applications, 7(2), 88- 106.
- Akinnukawe, B.I.,& Atteh, E. M.(2024). Block method coupled with compact difference schemes for the numerical solution of nonlinear Burgers'partial differential equations. Inter national Journal of Mathematical Sciences and Optimization: Theory and Applications, 10(2), 107- 123.