One-Step Five Offgrid Implicit Hybrid Block Method for the Direct Solution of Stiff Second-Order Ordinary Differential Equations
D. Raymond *
Department of Mathematics and Statistics, Federal University, Wukari, Taraba State, Nigeria.
E. O. Anyanwu
Department of Mathematics and Statistics, Federal University, Wukari, Taraba State, Nigeria.
A. I. Michael
Department of Mathematics and Statistics, Federal University, Wukari, Taraba State, Nigeria.
L. Adiku
Department of Mathematics and Statistics, Federal University, Wukari, Taraba State, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
A one-step five off-grid implicit hybrid block method for the solution of stiff Second Order Ordinary Differential Equations is developed. The continuous hybrid linear multistep method was generated using power series approximation via interpolation and collocation at the grid points. The discrete block method was recovered by evaluating the continuous block method at some selected grid points. The method is convergent. Numerical experiments on some Second Order Ordinary differential equations show that the method is more accurate than some existing methods.
Keywords: One-step, hybrid block, five off-step, stiff ODEs