Exponentially Fitted Chebyshev Based Algorithm as Second Order Initial Value Solver

Authors

  • Emmanuel Adeyefa Mathematics Department, Faculty of Science, Federal University Oye-Ekiti, Ekiti State, Nigeria
  • O. S. Esan Mathematics Department, Faculty of Science, Federal University Oye-Ekiti, Ekiti State, Nigeria

Keywords:

Chebyshev polynomial, Convergence, IVPs, Numerical Integrator, ODEs

Abstract

In this research work, we focus on development of a numerical algorithm which is well suited as integrator of initial value problems of order two. Exponential function is fitted into the Chebyshev polynomials for the formulation of this new numerical integrator. The efficiency, ingenuity and computational reliability of any numerical integrator are determined by investigating the zero stability, consistency and convergence of the integrator. Findings reveal that this algorithm is convergent. On comparison, the solutions obtained through the algorithm compare favourably well with the analytical solutions.

Dimensions

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Published

2020-03-05

How to Cite

Exponentially Fitted Chebyshev Based Algorithm as Second Order Initial Value Solver. (2020). Journal of the Nigerian Society of Physical Sciences, 2(1), 51-54. https://doi.org/10.46481/jnsps.2020.45

Issue

Volume 2, Issue 1, February 2020

Section

Original Research
Copyright & Licensing

How to Cite

Exponentially Fitted Chebyshev Based Algorithm as Second Order Initial Value Solver. (2020). Journal of the Nigerian Society of Physical Sciences, 2(1), 51-54. https://doi.org/10.46481/jnsps.2020.45