Implicit Four-Point Hybrid Block Integrator for the Simulations of Stiff Models

Authors

  • J. Sunday Department of Mathematics, University of Jos, Jos 930003, Nigeria
  • G. M. Kumleng Department of Mathematics, University of Jos, Jos 930003, Nigeria
  • N. M. Kamoh Department of Mathematics, University of Jos, Jos 930003, Nigeria
  • J. A. Kwanamu Department of Mathematics, Adamawa State University, Mubi 650001, Nigeria,
  • Y. Skwame Department of Mathematics, Adamawa State University, Mubi 650001, Nigeria
  • O. Sarjiyus Department of Computer Science, Adamawa State University, Mubi 650001, Nigeria

Keywords:

Hybrid block integrator, Imolicit, Lagrange polynomial, Simulation, Stiff model

Abstract

Over the years, the systematic search for stiff model solvers that are near-optimal has attracted the attention of many researchers. An attempt has been made in this research to formulate an implicit Four-Point Hybrid Block Integrator (FPHBI) for the simulations of some renowned rigid stiff models. The integrator is formulated by using the Lagrange polynomial as basis function. The properties of the integrator which include order, consistency, and convergence were analyzed. Further analysis showed that the proposed integrator has an A-stability region. The A-stability nature of the integrator makes it more robust and fitted for the simulation of stiff models. To test the computational reliability of the new integrator, few well-known technical stiff models such as the pharmacokinetics, Robertson and Van der Pol models were solved. The results generated were then compared with those of some existing methods including the MATLAB solid solvent, ode 15s. From the results generated, the new implicit FPHBI performed better than the ones with which we compared our results with.

Dimensions

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Published

2022-05-29

How to Cite

Implicit Four-Point Hybrid Block Integrator for the Simulations of Stiff Models. (2022). Journal of the Nigerian Society of Physical Sciences, 4(2), 287-296. https://doi.org/10.46481/jnsps.2022.777

Issue

Volume 4, Issue 2, May 2022

Section

Original Research
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Copyright (c) 2022 Journal of the Nigerian Society of Physical Sciences

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How to Cite

Implicit Four-Point Hybrid Block Integrator for the Simulations of Stiff Models. (2022). Journal of the Nigerian Society of Physical Sciences, 4(2), 287-296. https://doi.org/10.46481/jnsps.2022.777