Error Analysis of the Tau Method for a Class of third Order Initial Value Problem

S. A. Oyedotun, K. A. Bello, M. A. Salihu, M. O. Etuk

Abstract


In this paper, the differential variant of the tau method and its error estimation for initial value problem of the special class of third order overdetermined ordinary differential equation is considered. The error estimation is based on the error polynomial of the economisation of power series. The nth degree approximant is derived for the estimated error using the initial condition y(x_0)=ρ_0=a_o,y'(x_0)=ρ_1=a_1,y''(x_0)=ρ_2=2a_2. then the ar's and the tau parameters for various value of n is determined. Numerical experiments were given to illustrate the effectiveness of the method


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References


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