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Home  >  Volume 27 (July 2014)

3. The Accuracy and Convergence of Canonical Polynomial Method for Solving First Order Differential Equations by O.R. Aderele, S.O. Salawu and S.O Sogunro. Volume 27, (July 2014), pp 13 – 20
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Abstract

In this paper we seek a canonical polynomial for solving first order differential equation. A canonical polynomial was derived using a simple recursive relation and its associated initial value conditions with respect to step by step procedures of both shifted Legendre and shifted Chebyshev polynomials.These were used to solve first order differential equations with initial value problems. The results obtained from these methods were satisfying convergence properties as the error difference tends to zero when compared with the analytical solution.


Keywords: Canonical Polynomial, Shifted Chebyshev Polynomial and Shifted Legendre Polynomial.

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