%0 Journal Article
%T A New Super Convergent Implicit Runge-Kutta Method for First Order Ordinary Differential Equations
%A D. T. Chinyo
%A S. A. Agam
%J Asian Journal of Fuzzy and Applied Mathematics
%D 2015
%X We present a new efficient super convergent implicit Runge-kutta method (RKM) for solving differential equations (ODEs). Chybechev¡¯s polynomial is used as basis function. Collocation and Matrix inversion method is used to derive our continuous schemes. The continuous formula is evaluated at zeros of the first Chybechev¡¯s polynomial to give us Runge-kutta evaluation functions for the direct iteration of our solutions. Experimental examples used show that the method is A stable, highly efficient, has simple coefficients, less implementation cost when compared with similar methods in the literature
%K [Super Convergence RKM
%K Chybechev¡¯s polynomial
%K Collocation and Matrix inversion method
%K Zeros of Chybechev¡¯s polynomial
%K A stable)]
%U https://www.ajouronline.com/index.php/AJFAM/article/view/2830