Development of Hybrid Block Integrator for the Numerical solution of Stiff and Oscillatory Differential Equations for first order Ordinary Differential Equations

  • Abubakar Umaru Fotta Department of Mathematics Adamawa State Polytechnic, Yola Adamawa State, Nigeria
  • Ahmad Abubakar Abubakar Department of Mathematics Adamawa State Polytechnic, Yola Adamawa State, Nigeria
Keywords: Consistency, Convergence, Zero-Stability and Region of Absolute Stability

Abstract

This paper discussed the development of a new numerical hybrid block integrator for the numerical solution of stiff and oscillatory differential equations for first order ordinary differential equations. The method of interpolation and collocation at some selected grid point to generate the continuous scheme was adopted. The research also investigates the consistency, convergence, zero-stability and region of absolute stability of the integrator using matlab and the integrator was tested on some numerical experiments for comparism. The analysis of the method showed that the method is Zero-stable, consistent, convergent and computationally stable. The method handles stiff and Oscillatory differential equations effectively.

AMS Subject Classification: 65L05, 65L06, 65D30

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Published
2024-01-13
How to Cite
Umaru Fotta, A., & Abubakar, A. (2024). Development of Hybrid Block Integrator for the Numerical solution of Stiff and Oscillatory Differential Equations for first order Ordinary Differential Equations. GPH - International Journal of Mathematics, 6(12), 01-11. https://doi.org/10.5281/zenodo.10522017