TY - JFULL AU - J.S.C. Prentice PY - 2008/5/ TI - Local Error Control in the RK5GL3 Method T2 - International Journal of Mathematical and Computational Sciences SP - 230 EP - 235 VL - 2 SN - 1307-6892 UR - https://publications.waset.org/pdf/8341 PU - World Academy of Science, Engineering and Technology NX - Open Science Index 16, 2008 N2 - The RK5GL3 method is a numerical method for solving initial value problems in ordinary differential equations, and is based on a combination of a fifth-order Runge-Kutta method and 3-point Gauss-Legendre quadrature. In this paper we describe an effective local error control algorithm for RK5GL3, which uses local extrapolation with an eighth-order Runge-Kutta method in tandem with RK5GL3, and a Hermite interpolating polynomial for solution estimation at the Gauss-Legendre quadrature nodes. ER -