Exponentially Fitted Chebyshev Based Algorithm as Second Order Initial Value Solver
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 comput...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Nigerian Society of Physical Sciences
2020-03-01
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Series: | Journal of Nigerian Society of Physical Sciences |
Subjects: | |
Online Access: | https://journal.nsps.org.ng/index.php/jnsps/article/view/45 |
Summary: | 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.
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ISSN: | 2714-2817 2714-4704 |