Vol. 1 No. 1 (2024): BOUESTI Journal of Science, Engineering & Technology
Articles

IMPLEMENTATION OF PREDICTOR-CORRECTOR INTEGRATOR FOR THE SOLUTION OF INITIAL VALUE PROBLEM

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  • Temitayo Emmanuel OLAOSEBIKAN,
  • Olukayode Samuel AYINDE,
  • Oluwasola Joshua AYODELE
Olukayode Samuel AYINDE
Department of Mathematics, Ekiti State University, Ado-Ekiti, Nigeria.
Oluwasola Joshua AYODELE
Department of Mathematical Sciences, Bamidele Olumila University of Education, Science and Technology, Ikere-Ekiti, Nigeria.

Published 2024-05-02

Keywords

  • Ordinary Differential Equation, Initial Value Problem, Scheme, Integrator, Stability Analysis, Exponential Integrator.

Abstract

This paper developed a six-step third derivative exponentially fitted integrator of order eight for
the numerical solution of some initial value-related problem. This integrator possesses a free
parameter based on predictor-corrector mode. The scheme constructed was embedded into an
exponentially fitted formula. The Stability analysis of this scheme was examined and
implemented with the help of MatLab software to solve some initial value problems formulated
from optimization problems. Numerical results show that the new integrator is favorably
compared with the existing methods in the literature.

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