3 Point Block Backward Differentiation Formula with Multiple Off-Step Points for the Solution of Stiff Problems

Authors

  • Vanenchii Peter Ayoo
    Department of Mathematics, Federal University of Lafia, PMB 146, Lafia, Nigeria
  • Katmol Yunana Damap
    Department of Mathematics, Federal University of Lafia, PMB 146, Lafia, Nigeria
  • Hassan Ibrahim
    Department of Mathematics, Federal University of Lafia, PMB 146, Lafia, Nigeria

Keywords:

Backward Differentiation Formula , Block Multiple Off-Step Point , Linear Multistep Methods , Stiff Ordinary Differential Equations

Abstract

In this study, a three-point block backward differentiation formula (3PBBDF) method is derived for solving first-order stiff initial value problems (IVPs) of ordinary differential equations (ODEs). The newly proposed method is analyzed for its key properties and is found to be A-stable, zero-stable, and effective in handling stiff IVPs. To evaluate the performance of the 3PBBDF method, several stiff IVPs are solved, and the results are compared against existing numerical schemes. The comparison, based on tabulated results and plotted graphs, demonstrates that the proposed method offers superior accuracy in terms of error scaling over three competing methods and also outperforms two methods in terms of execution time. Consequently, the proposed 3PBBDF scheme proves to be an efficient tool for integrating stiff IVPs in ODEs

Dimensions

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cover

Published

2025-06-06

How to Cite

3 Point Block Backward Differentiation Formula with Multiple Off-Step Points for the Solution of Stiff Problems. (2025). Lafia Journal of Scientific and Industrial Research, 3(2), 53-58. https://doi.org/10.62050/ljsir2025.v3n2.549

Issue

Volume 3, Issue 2 (October, 2025), Lafia Journal of Scientific and Industrial Research (LJSIR)

Section

Physical Sciences
Copyright & Licensing

Copyright (c) 2025 Lafia Journal of Scientific and Industrial Research

Creative Commons License

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

How to Cite

3 Point Block Backward Differentiation Formula with Multiple Off-Step Points for the Solution of Stiff Problems. (2025). Lafia Journal of Scientific and Industrial Research, 3(2), 53-58. https://doi.org/10.62050/ljsir2025.v3n2.549

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