High order boundary value linear multistep method for the numerical solution of IVPs in ODEs

Authors

  • S. E. Ogunfeyitimi
    Department of Computing,Wellspring University, Benin City, Nigeria
    https://orcid.org/0000-0001-5072-9009
  • M. N. O Ikhile
    Advanced Research Laboratory, Department of Mathematics, University of Benin, P.M.B 1154, Benin City, Nigeria
  • P. O. Olatunji
    Department of Mathematical Sciences, Adekunle Ajasin University, P.M.B 001, Akungba Akoko,Ondo State, Nigeria

Keywords:

Boundary value methods, Linear multistep formulas, Extended backward differentiation formulas, Stiff systems

Abstract

In this paper, we introduce High order boundary value linear multistep method (HOBVLMM) for the numerical solution of stiff systems of initial value problems (IVPs). The order, error constant, zero stability and the region of absolute stability for the HOBVLMM are discussed. The proposed scheme posses 0k,k-1 -stability and (Ak,k-1 )-stability, achieving a high order of p = 2k - 1, where k represents the step number of the LMM. The methods prove to be effective for stiff systems of IVPs in ordinary differential equations (ODEs), as evidenced by our numerical experiments, which shows superior performance compared to some existing methods.

Dimensions

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Published

2025-11-01

How to Cite

High order boundary value linear multistep method for the numerical solution of IVPs in ODEs. (2025). Journal of the Nigerian Society of Physical Sciences, 7(4), 2718. https://doi.org/10.46481/jnsps.2025.2718

Issue

Volume 7, Issue 4, November 2025

Section

Mathematics & Statistics
Copyright & Licensing

Copyright (c) 2025 S. E. Ogunfeyitimi, M. N. O Ikhile, P. O. Olatunji

Creative Commons License

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

How to Cite

High order boundary value linear multistep method for the numerical solution of IVPs in ODEs. (2025). Journal of the Nigerian Society of Physical Sciences, 7(4), 2718. https://doi.org/10.46481/jnsps.2025.2718

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