A Sixth-order Self-Starting Algorithms for Second Order Initial Value Problems of ODEs
Journal of Advances in Mathematics and Computer Science · pp. 1–8 · Published 8 Mar 2016
10.9734/BJMCS/2016/24322Abstract
This paper focuses on derivation of three-step block method through collocation and interpolation technique with Chebyshev polynomial as basis function. The procedure yields uniform order finite difference formulae for the solution of second order Initial Value Problems in Ordinary Differential Equations. The analysis of the self-starting method shows that the method is efficient, consistent, zero-stable and, hence convergent. The method is more accurate when compared with existing methods.
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